:: EC_PF_2 semantic presentation

REAL is set
NAT is non empty epsilon-transitive epsilon-connected ordinal Element of bool REAL
bool REAL is non empty set
COMPLEX is set
omega is non empty epsilon-transitive epsilon-connected ordinal set
bool omega is non empty set
bool NAT is non empty set
1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive Element of NAT
[:1,1:] is non empty V18() set
bool [:1,1:] is non empty set
[:[:1,1:],1:] is non empty V18() set
bool [:[:1,1:],1:] is non empty set
[:[:1,1:],REAL:] is V18() set
bool [:[:1,1:],REAL:] is non empty set
[:REAL,REAL:] is V18() set
[:[:REAL,REAL:],REAL:] is V18() set
bool [:[:REAL,REAL:],REAL:] is non empty set
2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive Element of NAT
[:2,2:] is non empty V18() set
[:[:2,2:],REAL:] is V18() set
bool [:[:2,2:],REAL:] is non empty set
RAT is set
INT is set
bool [:REAL,REAL:] is non empty set
K340(2) is V159() L15()
the carrier of K340(2) is set
K414() is non empty non trivial V54() strict unital V170() right_unital well-unital left_unital doubleLoopStr
the carrier of K414() is non empty non trivial V36() V139() set
[: the carrier of K414(),NAT:] is non empty V18() set
bool [: the carrier of K414(),NAT:] is non empty set
[:COMPLEX,COMPLEX:] is V18() set
bool [:COMPLEX,COMPLEX:] is non empty set
[:[:COMPLEX,COMPLEX:],COMPLEX:] is V18() set
bool [:[:COMPLEX,COMPLEX:],COMPLEX:] is non empty set
[:RAT,RAT:] is V18() set
bool [:RAT,RAT:] is non empty set
[:[:RAT,RAT:],RAT:] is V18() set
bool [:[:RAT,RAT:],RAT:] is non empty set
[:INT,INT:] is V18() set
bool [:INT,INT:] is non empty set
[:[:INT,INT:],INT:] is V18() set
bool [:[:INT,INT:],INT:] is non empty set
[:NAT,NAT:] is non empty V18() set
[:[:NAT,NAT:],NAT:] is non empty V18() set
bool [:[:NAT,NAT:],NAT:] is non empty set
{} is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer ext-real V18() non-empty empty-yielding set
5 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive Element of NAT
0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() integer ext-real V18() non-empty empty-yielding Element of NAT
[:NAT,NAT,NAT:] is non empty set
[0,0,0] is V29() triple Element of [:NAT,NAT,NAT:]
K23(0,0) is V29() set
K23(K23(0,0),0) is V29() set
{[0,0,0]} is non empty Element of bool [:NAT,NAT,NAT:]
bool [:NAT,NAT,NAT:] is non empty set
4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive Element of NAT
27 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive Element of NAT
3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive Element of NAT
[0,1,0] is V29() triple Element of [:NAT,NAT,NAT:]
K23(0,1) is V29() set
K23(K23(0,1),0) is V29() set
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
z is Element of the carrier of p
z |^ 2 is Element of the carrier of p
power p is V18() Function-like V32([: the carrier of p,NAT:], the carrier of p) Element of bool [:[: the carrier of p,NAT:], the carrier of p:]
[: the carrier of p,NAT:] is non empty V18() set
[:[: the carrier of p,NAT:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p,NAT:], the carrier of p:] is non empty set
(power p) . (z,2) is set
F is Element of the carrier of p
- F is Element of the carrier of p
F |^ 2 is Element of the carrier of p
(power p) . (F,2) is set
z * z is Element of the carrier of p
the multF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the multF of p . (z,z) is Element of the carrier of p
F * F is Element of the carrier of p
the multF of p . (F,F) is Element of the carrier of p
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
1. p is V55(p) Element of the carrier of p
the carrier of p is non empty non trivial set
(1. p) " is Element of the carrier of p
0. p is V55(p) Element of the carrier of p
((1. p) ") * (1. p) is Element of the carrier of p
the multF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the multF of p . (((1. p) "),(1. p)) is Element of the carrier of p
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
0. p is V55(p) Element of the carrier of p
z is Element of the carrier of p
z " is Element of the carrier of p
F is Element of the carrier of p
F " is Element of the carrier of p
Q is Element of the carrier of p
Q * (z ") is Element of the carrier of p
the multF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the multF of p . (Q,(z ")) is Element of the carrier of p
Q * F is Element of the carrier of p
the multF of p . (Q,F) is Element of the carrier of p
R is Element of the carrier of p
R * (F ") is Element of the carrier of p
the multF of p . (R,(F ")) is Element of the carrier of p
z * R is Element of the carrier of p
the multF of p . (z,R) is Element of the carrier of p
(z ") * z is Element of the carrier of p
the multF of p . ((z "),z) is Element of the carrier of p
Q * ((z ") * z) is Element of the carrier of p
the multF of p . (Q,((z ") * z)) is Element of the carrier of p
(R * (F ")) * z is Element of the carrier of p
the multF of p . ((R * (F ")),z) is Element of the carrier of p
1. p is V55(p) Element of the carrier of p
Q * (1. p) is Element of the carrier of p
the multF of p . (Q,(1. p)) is Element of the carrier of p
R * z is Element of the carrier of p
the multF of p . (R,z) is Element of the carrier of p
(R * z) * (F ") is Element of the carrier of p
the multF of p . ((R * z),(F ")) is Element of the carrier of p
(F ") * F is Element of the carrier of p
the multF of p . ((F "),F) is Element of the carrier of p
(R * z) * ((F ") * F) is Element of the carrier of p
the multF of p . ((R * z),((F ") * F)) is Element of the carrier of p
(R * z) * (1. p) is Element of the carrier of p
the multF of p . ((R * z),(1. p)) is Element of the carrier of p
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
0. p is V55(p) Element of the carrier of p
z is Element of the carrier of p
z " is Element of the carrier of p
F is Element of the carrier of p
F " is Element of the carrier of p
Q is Element of the carrier of p
Q * F is Element of the carrier of p
the multF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the multF of p . (Q,F) is Element of the carrier of p
Q * (z ") is Element of the carrier of p
the multF of p . (Q,(z ")) is Element of the carrier of p
R is Element of the carrier of p
z * R is Element of the carrier of p
the multF of p . (z,R) is Element of the carrier of p
R * (F ") is Element of the carrier of p
the multF of p . (R,(F ")) is Element of the carrier of p
(z * R) * (F ") is Element of the carrier of p
the multF of p . ((z * R),(F ")) is Element of the carrier of p
(F ") * F is Element of the carrier of p
the multF of p . ((F "),F) is Element of the carrier of p
Q * ((F ") * F) is Element of the carrier of p
the multF of p . (Q,((F ") * F)) is Element of the carrier of p
1. p is V55(p) Element of the carrier of p
Q * (1. p) is Element of the carrier of p
the multF of p . (Q,(1. p)) is Element of the carrier of p
(R * (F ")) * z is Element of the carrier of p
the multF of p . ((R * (F ")),z) is Element of the carrier of p
(z ") * z is Element of the carrier of p
the multF of p . ((z "),z) is Element of the carrier of p
(R * (F ")) * ((z ") * z) is Element of the carrier of p
the multF of p . ((R * (F ")),((z ") * z)) is Element of the carrier of p
(R * (F ")) * (1. p) is Element of the carrier of p
the multF of p . ((R * (F ")),(1. p)) is Element of the carrier of p
p is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real set
z is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of z is non empty non trivial set
0. z is V55(z) Element of the carrier of z
F is Element of the carrier of z
F |^ p is Element of the carrier of z
power z is V18() Function-like V32([: the carrier of z,NAT:], the carrier of z) Element of bool [:[: the carrier of z,NAT:], the carrier of z:]
[: the carrier of z,NAT:] is non empty V18() set
[:[: the carrier of z,NAT:], the carrier of z:] is non empty V18() set
bool [:[: the carrier of z,NAT:], the carrier of z:] is non empty set
(power z) . (F,p) is set
p - 1 is V11() V12() integer ext-real set
Q is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real set
Q + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
F |^ (Q + 1) is Element of the carrier of z
(power z) . (F,(Q + 1)) is set
F |^ Q is Element of the carrier of z
(power z) . (F,Q) is set
(F |^ Q) * F is Element of the carrier of z
the multF of z is V18() Function-like V32([: the carrier of z, the carrier of z:], the carrier of z) Element of bool [:[: the carrier of z, the carrier of z:], the carrier of z:]
[: the carrier of z, the carrier of z:] is non empty V18() set
[:[: the carrier of z, the carrier of z:], the carrier of z:] is non empty V18() set
bool [:[: the carrier of z, the carrier of z:], the carrier of z:] is non empty set
the multF of z . ((F |^ Q),F) is Element of the carrier of z
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
z is Element of the carrier of p
- z is Element of the carrier of p
F is Element of the carrier of p
- F is Element of the carrier of p
z + F is Element of the carrier of p
the addF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the addF of p . (z,F) is Element of the carrier of p
0. p is V55(p) Element of the carrier of p
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
z is Element of the carrier of p
F is Element of the carrier of p
z + F is Element of the carrier of p
the addF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the addF of p . (z,F) is Element of the carrier of p
Q is Element of the carrier of p
(z + F) + Q is Element of the carrier of p
the addF of p . ((z + F),Q) is Element of the carrier of p
R is Element of the carrier of p
((z + F) + Q) + R is Element of the carrier of p
the addF of p . (((z + F) + Q),R) is Element of the carrier of p
R + F is Element of the carrier of p
the addF of p . (R,F) is Element of the carrier of p
(R + F) + Q is Element of the carrier of p
the addF of p . ((R + F),Q) is Element of the carrier of p
((R + F) + Q) + z is Element of the carrier of p
the addF of p . (((R + F) + Q),z) is Element of the carrier of p
z + R is Element of the carrier of p
the addF of p . (z,R) is Element of the carrier of p
(z + R) + Q is Element of the carrier of p
the addF of p . ((z + R),Q) is Element of the carrier of p
((z + R) + Q) + F is Element of the carrier of p
the addF of p . (((z + R) + Q),F) is Element of the carrier of p
F + Q is Element of the carrier of p
the addF of p . (F,Q) is Element of the carrier of p
(F + Q) + z is Element of the carrier of p
the addF of p . ((F + Q),z) is Element of the carrier of p
((F + Q) + z) + R is Element of the carrier of p
the addF of p . (((F + Q) + z),R) is Element of the carrier of p
R + (F + Q) is Element of the carrier of p
the addF of p . (R,(F + Q)) is Element of the carrier of p
(R + (F + Q)) + z is Element of the carrier of p
the addF of p . ((R + (F + Q)),z) is Element of the carrier of p
z + Q is Element of the carrier of p
the addF of p . (z,Q) is Element of the carrier of p
(z + Q) + F is Element of the carrier of p
the addF of p . ((z + Q),F) is Element of the carrier of p
((z + Q) + F) + R is Element of the carrier of p
the addF of p . (((z + Q) + F),R) is Element of the carrier of p
(z + Q) + R is Element of the carrier of p
the addF of p . ((z + Q),R) is Element of the carrier of p
((z + Q) + R) + F is Element of the carrier of p
the addF of p . (((z + Q) + R),F) is Element of the carrier of p
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
z is Element of the carrier of p
F is Element of the carrier of p
z + F is Element of the carrier of p
the addF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the addF of p . (z,F) is Element of the carrier of p
Q is Element of the carrier of p
(z + F) + Q is Element of the carrier of p
the addF of p . ((z + F),Q) is Element of the carrier of p
F + Q is Element of the carrier of p
the addF of p . (F,Q) is Element of the carrier of p
R is Element of the carrier of p
((z + F) + Q) + R is Element of the carrier of p
the addF of p . (((z + F) + Q),R) is Element of the carrier of p
(F + Q) + R is Element of the carrier of p
the addF of p . ((F + Q),R) is Element of the carrier of p
z + ((F + Q) + R) is Element of the carrier of p
the addF of p . (z,((F + Q) + R)) is Element of the carrier of p
o2 is Element of the carrier of p
(((z + F) + Q) + R) + o2 is Element of the carrier of p
the addF of p . ((((z + F) + Q) + R),o2) is Element of the carrier of p
((F + Q) + R) + o2 is Element of the carrier of p
the addF of p . (((F + Q) + R),o2) is Element of the carrier of p
z + (((F + Q) + R) + o2) is Element of the carrier of p
the addF of p . (z,(((F + Q) + R) + o2)) is Element of the carrier of p
Q + R is Element of the carrier of p
the addF of p . (Q,R) is Element of the carrier of p
(z + F) + (Q + R) is Element of the carrier of p
the addF of p . ((z + F),(Q + R)) is Element of the carrier of p
F + (Q + R) is Element of the carrier of p
the addF of p . (F,(Q + R)) is Element of the carrier of p
z + (F + (Q + R)) is Element of the carrier of p
the addF of p . (z,(F + (Q + R))) is Element of the carrier of p
R + o2 is Element of the carrier of p
the addF of p . (R,o2) is Element of the carrier of p
((z + F) + Q) + (R + o2) is Element of the carrier of p
the addF of p . (((z + F) + Q),(R + o2)) is Element of the carrier of p
Q + (R + o2) is Element of the carrier of p
the addF of p . (Q,(R + o2)) is Element of the carrier of p
(z + F) + (Q + (R + o2)) is Element of the carrier of p
the addF of p . ((z + F),(Q + (R + o2))) is Element of the carrier of p
F + (Q + (R + o2)) is Element of the carrier of p
the addF of p . (F,(Q + (R + o2))) is Element of the carrier of p
z + (F + (Q + (R + o2))) is Element of the carrier of p
the addF of p . (z,(F + (Q + (R + o2)))) is Element of the carrier of p
(F + Q) + (R + o2) is Element of the carrier of p
the addF of p . ((F + Q),(R + o2)) is Element of the carrier of p
z + ((F + Q) + (R + o2)) is Element of the carrier of p
the addF of p . (z,((F + Q) + (R + o2))) is Element of the carrier of p
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
z is Element of the carrier of p
F is Element of the carrier of p
z + F is Element of the carrier of p
the addF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the addF of p . (z,F) is Element of the carrier of p
Q is Element of the carrier of p
(z + F) + Q is Element of the carrier of p
the addF of p . ((z + F),Q) is Element of the carrier of p
F + Q is Element of the carrier of p
the addF of p . (F,Q) is Element of the carrier of p
R is Element of the carrier of p
((z + F) + Q) + R is Element of the carrier of p
the addF of p . (((z + F) + Q),R) is Element of the carrier of p
(F + Q) + R is Element of the carrier of p
the addF of p . ((F + Q),R) is Element of the carrier of p
o2 is Element of the carrier of p
(((z + F) + Q) + R) + o2 is Element of the carrier of p
the addF of p . ((((z + F) + Q) + R),o2) is Element of the carrier of p
((F + Q) + R) + o2 is Element of the carrier of p
the addF of p . (((F + Q) + R),o2) is Element of the carrier of p
O is Element of the carrier of p
((((z + F) + Q) + R) + o2) + O is Element of the carrier of p
the addF of p . (((((z + F) + Q) + R) + o2),O) is Element of the carrier of p
(((F + Q) + R) + o2) + O is Element of the carrier of p
the addF of p . ((((F + Q) + R) + o2),O) is Element of the carrier of p
z + ((((F + Q) + R) + o2) + O) is Element of the carrier of p
the addF of p . (z,((((F + Q) + R) + o2) + O)) is Element of the carrier of p
o2 + O is Element of the carrier of p
the addF of p . (o2,O) is Element of the carrier of p
(((z + F) + Q) + R) + (o2 + O) is Element of the carrier of p
the addF of p . ((((z + F) + Q) + R),(o2 + O)) is Element of the carrier of p
((F + Q) + R) + (o2 + O) is Element of the carrier of p
the addF of p . (((F + Q) + R),(o2 + O)) is Element of the carrier of p
z + (((F + Q) + R) + (o2 + O)) is Element of the carrier of p
the addF of p . (z,(((F + Q) + R) + (o2 + O))) is Element of the carrier of p
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
z is Element of the carrier of p
F is Element of the carrier of p
z * F is Element of the carrier of p
the multF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the multF of p . (z,F) is Element of the carrier of p
Q is Element of the carrier of p
(z * F) * Q is Element of the carrier of p
the multF of p . ((z * F),Q) is Element of the carrier of p
R is Element of the carrier of p
((z * F) * Q) * R is Element of the carrier of p
the multF of p . (((z * F) * Q),R) is Element of the carrier of p
R * F is Element of the carrier of p
the multF of p . (R,F) is Element of the carrier of p
(R * F) * Q is Element of the carrier of p
the multF of p . ((R * F),Q) is Element of the carrier of p
((R * F) * Q) * z is Element of the carrier of p
the multF of p . (((R * F) * Q),z) is Element of the carrier of p
z * R is Element of the carrier of p
the multF of p . (z,R) is Element of the carrier of p
(z * R) * Q is Element of the carrier of p
the multF of p . ((z * R),Q) is Element of the carrier of p
((z * R) * Q) * F is Element of the carrier of p
the multF of p . (((z * R) * Q),F) is Element of the carrier of p
F * Q is Element of the carrier of p
the multF of p . (F,Q) is Element of the carrier of p
(F * Q) * z is Element of the carrier of p
the multF of p . ((F * Q),z) is Element of the carrier of p
((F * Q) * z) * R is Element of the carrier of p
the multF of p . (((F * Q) * z),R) is Element of the carrier of p
R * (F * Q) is Element of the carrier of p
the multF of p . (R,(F * Q)) is Element of the carrier of p
(R * (F * Q)) * z is Element of the carrier of p
the multF of p . ((R * (F * Q)),z) is Element of the carrier of p
z * Q is Element of the carrier of p
the multF of p . (z,Q) is Element of the carrier of p
(z * Q) * F is Element of the carrier of p
the multF of p . ((z * Q),F) is Element of the carrier of p
((z * Q) * F) * R is Element of the carrier of p
the multF of p . (((z * Q) * F),R) is Element of the carrier of p
(z * Q) * R is Element of the carrier of p
the multF of p . ((z * Q),R) is Element of the carrier of p
((z * Q) * R) * F is Element of the carrier of p
the multF of p . (((z * Q) * R),F) is Element of the carrier of p
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
z is Element of the carrier of p
F is Element of the carrier of p
z * F is Element of the carrier of p
the multF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the multF of p . (z,F) is Element of the carrier of p
Q is Element of the carrier of p
(z * F) * Q is Element of the carrier of p
the multF of p . ((z * F),Q) is Element of the carrier of p
F * Q is Element of the carrier of p
the multF of p . (F,Q) is Element of the carrier of p
R is Element of the carrier of p
((z * F) * Q) * R is Element of the carrier of p
the multF of p . (((z * F) * Q),R) is Element of the carrier of p
(F * Q) * R is Element of the carrier of p
the multF of p . ((F * Q),R) is Element of the carrier of p
z * ((F * Q) * R) is Element of the carrier of p
the multF of p . (z,((F * Q) * R)) is Element of the carrier of p
o2 is Element of the carrier of p
(((z * F) * Q) * R) * o2 is Element of the carrier of p
the multF of p . ((((z * F) * Q) * R),o2) is Element of the carrier of p
((F * Q) * R) * o2 is Element of the carrier of p
the multF of p . (((F * Q) * R),o2) is Element of the carrier of p
z * (((F * Q) * R) * o2) is Element of the carrier of p
the multF of p . (z,(((F * Q) * R) * o2)) is Element of the carrier of p
Q * R is Element of the carrier of p
the multF of p . (Q,R) is Element of the carrier of p
(z * F) * (Q * R) is Element of the carrier of p
the multF of p . ((z * F),(Q * R)) is Element of the carrier of p
F * (Q * R) is Element of the carrier of p
the multF of p . (F,(Q * R)) is Element of the carrier of p
z * (F * (Q * R)) is Element of the carrier of p
the multF of p . (z,(F * (Q * R))) is Element of the carrier of p
R * o2 is Element of the carrier of p
the multF of p . (R,o2) is Element of the carrier of p
((z * F) * Q) * (R * o2) is Element of the carrier of p
the multF of p . (((z * F) * Q),(R * o2)) is Element of the carrier of p
Q * (R * o2) is Element of the carrier of p
the multF of p . (Q,(R * o2)) is Element of the carrier of p
(z * F) * (Q * (R * o2)) is Element of the carrier of p
the multF of p . ((z * F),(Q * (R * o2))) is Element of the carrier of p
F * (Q * (R * o2)) is Element of the carrier of p
the multF of p . (F,(Q * (R * o2))) is Element of the carrier of p
z * (F * (Q * (R * o2))) is Element of the carrier of p
the multF of p . (z,(F * (Q * (R * o2)))) is Element of the carrier of p
(F * Q) * (R * o2) is Element of the carrier of p
the multF of p . ((F * Q),(R * o2)) is Element of the carrier of p
z * ((F * Q) * (R * o2)) is Element of the carrier of p
the multF of p . (z,((F * Q) * (R * o2))) is Element of the carrier of p
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
z is Element of the carrier of p
F is Element of the carrier of p
z * F is Element of the carrier of p
the multF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the multF of p . (z,F) is Element of the carrier of p
Q is Element of the carrier of p
(z * F) * Q is Element of the carrier of p
the multF of p . ((z * F),Q) is Element of the carrier of p
F * Q is Element of the carrier of p
the multF of p . (F,Q) is Element of the carrier of p
R is Element of the carrier of p
((z * F) * Q) * R is Element of the carrier of p
the multF of p . (((z * F) * Q),R) is Element of the carrier of p
(F * Q) * R is Element of the carrier of p
the multF of p . ((F * Q),R) is Element of the carrier of p
z * ((F * Q) * R) is Element of the carrier of p
the multF of p . (z,((F * Q) * R)) is Element of the carrier of p
o2 is Element of the carrier of p
(((z * F) * Q) * R) * o2 is Element of the carrier of p
the multF of p . ((((z * F) * Q) * R),o2) is Element of the carrier of p
((F * Q) * R) * o2 is Element of the carrier of p
the multF of p . (((F * Q) * R),o2) is Element of the carrier of p
(z * ((F * Q) * R)) * o2 is Element of the carrier of p
the multF of p . ((z * ((F * Q) * R)),o2) is Element of the carrier of p
O is Element of the carrier of p
((((z * F) * Q) * R) * o2) * O is Element of the carrier of p
the multF of p . (((((z * F) * Q) * R) * o2),O) is Element of the carrier of p
(((F * Q) * R) * o2) * O is Element of the carrier of p
the multF of p . ((((F * Q) * R) * o2),O) is Element of the carrier of p
z * ((((F * Q) * R) * o2) * O) is Element of the carrier of p
the multF of p . (z,((((F * Q) * R) * o2) * O)) is Element of the carrier of p
((z * ((F * Q) * R)) * o2) * O is Element of the carrier of p
the multF of p . (((z * ((F * Q) * R)) * o2),O) is Element of the carrier of p
o2 * O is Element of the carrier of p
the multF of p . (o2,O) is Element of the carrier of p
(((z * F) * Q) * R) * (o2 * O) is Element of the carrier of p
the multF of p . ((((z * F) * Q) * R),(o2 * O)) is Element of the carrier of p
((F * Q) * R) * (o2 * O) is Element of the carrier of p
the multF of p . (((F * Q) * R),(o2 * O)) is Element of the carrier of p
z * (((F * Q) * R) * (o2 * O)) is Element of the carrier of p
the multF of p . (z,(((F * Q) * R) * (o2 * O))) is Element of the carrier of p
(z * ((F * Q) * R)) * (o2 * O) is Element of the carrier of p
the multF of p . ((z * ((F * Q) * R)),(o2 * O)) is Element of the carrier of p
p is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real set
z is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of z is non empty non trivial set
F is Element of the carrier of z
F |^ p is Element of the carrier of z
power z is V18() Function-like V32([: the carrier of z,NAT:], the carrier of z) Element of bool [:[: the carrier of z,NAT:], the carrier of z:]
[: the carrier of z,NAT:] is non empty V18() set
[:[: the carrier of z,NAT:], the carrier of z:] is non empty V18() set
bool [:[: the carrier of z,NAT:], the carrier of z:] is non empty set
(power z) . (F,p) is set
Q is Element of the carrier of z
F * Q is Element of the carrier of z
the multF of z is V18() Function-like V32([: the carrier of z, the carrier of z:], the carrier of z) Element of bool [:[: the carrier of z, the carrier of z:], the carrier of z:]
[: the carrier of z, the carrier of z:] is non empty V18() set
[:[: the carrier of z, the carrier of z:], the carrier of z:] is non empty V18() set
bool [:[: the carrier of z, the carrier of z:], the carrier of z:] is non empty set
the multF of z . (F,Q) is Element of the carrier of z
Q |^ p is Element of the carrier of z
(power z) . (Q,p) is set
(F |^ p) * (Q |^ p) is Element of the carrier of z
the multF of z . ((F |^ p),(Q |^ p)) is Element of the carrier of z
R is Element of the carrier of z
(F * Q) * R is Element of the carrier of z
the multF of z . ((F * Q),R) is Element of the carrier of z
((F * Q) * R) |^ p is Element of the carrier of z
(power z) . (((F * Q) * R),p) is set
R |^ p is Element of the carrier of z
(power z) . (R,p) is set
((F |^ p) * (Q |^ p)) * (R |^ p) is Element of the carrier of z
the multF of z . (((F |^ p) * (Q |^ p)),(R |^ p)) is Element of the carrier of z
(F * Q) |^ p is Element of the carrier of z
(power z) . ((F * Q),p) is set
((F * Q) |^ p) * (R |^ p) is Element of the carrier of z
the multF of z . (((F * Q) |^ p),(R |^ p)) is Element of the carrier of z
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
z is Element of the carrier of p
F is Element of the carrier of p
z * F is Element of the carrier of p
the multF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the multF of p . (z,F) is Element of the carrier of p
- F is Element of the carrier of p
- (z * F) is Element of the carrier of p
Q is Element of the carrier of p
F + Q is Element of the carrier of p
the addF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
the addF of p . (F,Q) is Element of the carrier of p
z * Q is Element of the carrier of p
the multF of p . (z,Q) is Element of the carrier of p
(z * F) + (z * Q) is Element of the carrier of p
the addF of p . ((z * F),(z * Q)) is Element of the carrier of p
F - Q is Element of the carrier of p
- Q is Element of the carrier of p
F + (- Q) is Element of the carrier of p
the addF of p . (F,(- Q)) is Element of the carrier of p
(z * F) - (z * Q) is Element of the carrier of p
- (z * Q) is Element of the carrier of p
(z * F) + (- (z * Q)) is Element of the carrier of p
the addF of p . ((z * F),(- (z * Q))) is Element of the carrier of p
(- F) + Q is Element of the carrier of p
the addF of p . ((- F),Q) is Element of the carrier of p
(- (z * F)) + (z * Q) is Element of the carrier of p
the addF of p . ((- (z * F)),(z * Q)) is Element of the carrier of p
(- F) - Q is Element of the carrier of p
(- F) + (- Q) is Element of the carrier of p
the addF of p . ((- F),(- Q)) is Element of the carrier of p
(- (z * F)) - (z * Q) is Element of the carrier of p
(- (z * F)) + (- (z * Q)) is Element of the carrier of p
the addF of p . ((- (z * F)),(- (z * Q))) is Element of the carrier of p
R is Element of the carrier of p
(F + Q) + R is Element of the carrier of p
the addF of p . ((F + Q),R) is Element of the carrier of p
z * ((F + Q) + R) is Element of the carrier of p
the multF of p . (z,((F + Q) + R)) is Element of the carrier of p
z * R is Element of the carrier of p
the multF of p . (z,R) is Element of the carrier of p
((z * F) + (z * Q)) + (z * R) is Element of the carrier of p
the addF of p . (((z * F) + (z * Q)),(z * R)) is Element of the carrier of p
(F + Q) - R is Element of the carrier of p
- R is Element of the carrier of p
(F + Q) + (- R) is Element of the carrier of p
the addF of p . ((F + Q),(- R)) is Element of the carrier of p
z * ((F + Q) - R) is Element of the carrier of p
the multF of p . (z,((F + Q) - R)) is Element of the carrier of p
((z * F) + (z * Q)) - (z * R) is Element of the carrier of p
- (z * R) is Element of the carrier of p
((z * F) + (z * Q)) + (- (z * R)) is Element of the carrier of p
the addF of p . (((z * F) + (z * Q)),(- (z * R))) is Element of the carrier of p
(F - Q) + R is Element of the carrier of p
the addF of p . ((F - Q),R) is Element of the carrier of p
z * ((F - Q) + R) is Element of the carrier of p
the multF of p . (z,((F - Q) + R)) is Element of the carrier of p
((z * F) - (z * Q)) + (z * R) is Element of the carrier of p
the addF of p . (((z * F) - (z * Q)),(z * R)) is Element of the carrier of p
(F - Q) - R is Element of the carrier of p
(F - Q) + (- R) is Element of the carrier of p
the addF of p . ((F - Q),(- R)) is Element of the carrier of p
z * ((F - Q) - R) is Element of the carrier of p
the multF of p . (z,((F - Q) - R)) is Element of the carrier of p
((z * F) - (z * Q)) - (z * R) is Element of the carrier of p
((z * F) - (z * Q)) + (- (z * R)) is Element of the carrier of p
the addF of p . (((z * F) - (z * Q)),(- (z * R))) is Element of the carrier of p
((- F) + Q) + R is Element of the carrier of p
the addF of p . (((- F) + Q),R) is Element of the carrier of p
z * (((- F) + Q) + R) is Element of the carrier of p
the multF of p . (z,(((- F) + Q) + R)) is Element of the carrier of p
((- (z * F)) + (z * Q)) + (z * R) is Element of the carrier of p
the addF of p . (((- (z * F)) + (z * Q)),(z * R)) is Element of the carrier of p
((- F) + Q) - R is Element of the carrier of p
((- F) + Q) + (- R) is Element of the carrier of p
the addF of p . (((- F) + Q),(- R)) is Element of the carrier of p
z * (((- F) + Q) - R) is Element of the carrier of p
the multF of p . (z,(((- F) + Q) - R)) is Element of the carrier of p
((- (z * F)) + (z * Q)) - (z * R) is Element of the carrier of p
((- (z * F)) + (z * Q)) + (- (z * R)) is Element of the carrier of p
the addF of p . (((- (z * F)) + (z * Q)),(- (z * R))) is Element of the carrier of p
((- F) - Q) + R is Element of the carrier of p
the addF of p . (((- F) - Q),R) is Element of the carrier of p
z * (((- F) - Q) + R) is Element of the carrier of p
the multF of p . (z,(((- F) - Q) + R)) is Element of the carrier of p
((- (z * F)) - (z * Q)) + (z * R) is Element of the carrier of p
the addF of p . (((- (z * F)) - (z * Q)),(z * R)) is Element of the carrier of p
((- F) - Q) - R is Element of the carrier of p
((- F) - Q) + (- R) is Element of the carrier of p
the addF of p . (((- F) - Q),(- R)) is Element of the carrier of p
z * (((- F) - Q) - R) is Element of the carrier of p
the multF of p . (z,(((- F) - Q) - R)) is Element of the carrier of p
((- (z * F)) - (z * Q)) - (z * R) is Element of the carrier of p
((- (z * F)) - (z * Q)) + (- (z * R)) is Element of the carrier of p
the addF of p . (((- (z * F)) - (z * Q)),(- (z * R))) is Element of the carrier of p
z * (F + Q) is Element of the carrier of p
the multF of p . (z,(F + Q)) is Element of the carrier of p
(z * (F + Q)) + (z * R) is Element of the carrier of p
the addF of p . ((z * (F + Q)),(z * R)) is Element of the carrier of p
z * (- R) is Element of the carrier of p
the multF of p . (z,(- R)) is Element of the carrier of p
(z * (F + Q)) + (z * (- R)) is Element of the carrier of p
the addF of p . ((z * (F + Q)),(z * (- R))) is Element of the carrier of p
((z * F) + (z * Q)) + (z * (- R)) is Element of the carrier of p
the addF of p . (((z * F) + (z * Q)),(z * (- R))) is Element of the carrier of p
F + (- Q) is Element of the carrier of p
z * (F + (- Q)) is Element of the carrier of p
the multF of p . (z,(F + (- Q))) is Element of the carrier of p
(z * (F + (- Q))) + (z * R) is Element of the carrier of p
the addF of p . ((z * (F + (- Q))),(z * R)) is Element of the carrier of p
z * (- Q) is Element of the carrier of p
the multF of p . (z,(- Q)) is Element of the carrier of p
(z * F) + (z * (- Q)) is Element of the carrier of p
the addF of p . ((z * F),(z * (- Q))) is Element of the carrier of p
((z * F) + (z * (- Q))) + (z * R) is Element of the carrier of p
the addF of p . (((z * F) + (z * (- Q))),(z * R)) is Element of the carrier of p
(z * (F + (- Q))) + (z * (- R)) is Element of the carrier of p
the addF of p . ((z * (F + (- Q))),(z * (- R))) is Element of the carrier of p
((z * F) + (z * (- Q))) + (z * (- R)) is Element of the carrier of p
the addF of p . (((z * F) + (z * (- Q))),(z * (- R))) is Element of the carrier of p
((z * F) - (z * Q)) + (z * (- R)) is Element of the carrier of p
the addF of p . (((z * F) - (z * Q)),(z * (- R))) is Element of the carrier of p
z * ((- F) + Q) is Element of the carrier of p
the multF of p . (z,((- F) + Q)) is Element of the carrier of p
(z * ((- F) + Q)) + (z * R) is Element of the carrier of p
the addF of p . ((z * ((- F) + Q)),(z * R)) is Element of the carrier of p
z * (- F) is Element of the carrier of p
the multF of p . (z,(- F)) is Element of the carrier of p
(z * (- F)) + (z * Q) is Element of the carrier of p
the addF of p . ((z * (- F)),(z * Q)) is Element of the carrier of p
((z * (- F)) + (z * Q)) + (z * R) is Element of the carrier of p
the addF of p . (((z * (- F)) + (z * Q)),(z * R)) is Element of the carrier of p
(z * ((- F) + Q)) + (z * (- R)) is Element of the carrier of p
the addF of p . ((z * ((- F) + Q)),(z * (- R))) is Element of the carrier of p
((z * (- F)) + (z * Q)) + (z * (- R)) is Element of the carrier of p
the addF of p . (((z * (- F)) + (z * Q)),(z * (- R))) is Element of the carrier of p
((- (z * F)) + (z * Q)) + (z * (- R)) is Element of the carrier of p
the addF of p . (((- (z * F)) + (z * Q)),(z * (- R))) is Element of the carrier of p
(- F) + (- Q) is Element of the carrier of p
z * ((- F) + (- Q)) is Element of the carrier of p
the multF of p . (z,((- F) + (- Q))) is Element of the carrier of p
(z * ((- F) + (- Q))) + (z * R) is Element of the carrier of p
the addF of p . ((z * ((- F) + (- Q))),(z * R)) is Element of the carrier of p
(z * (- F)) + (z * (- Q)) is Element of the carrier of p
the addF of p . ((z * (- F)),(z * (- Q))) is Element of the carrier of p
((z * (- F)) + (z * (- Q))) + (z * R) is Element of the carrier of p
the addF of p . (((z * (- F)) + (z * (- Q))),(z * R)) is Element of the carrier of p
(- (z * F)) + (z * (- Q)) is Element of the carrier of p
the addF of p . ((- (z * F)),(z * (- Q))) is Element of the carrier of p
((- (z * F)) + (z * (- Q))) + (z * R) is Element of the carrier of p
the addF of p . (((- (z * F)) + (z * (- Q))),(z * R)) is Element of the carrier of p
(z * ((- F) + (- Q))) + (z * (- R)) is Element of the carrier of p
the addF of p . ((z * ((- F) + (- Q))),(z * (- R))) is Element of the carrier of p
((z * (- F)) + (z * (- Q))) + (z * (- R)) is Element of the carrier of p
the addF of p . (((z * (- F)) + (z * (- Q))),(z * (- R))) is Element of the carrier of p
((- (z * F)) + (z * (- Q))) + (z * (- R)) is Element of the carrier of p
the addF of p . (((- (z * F)) + (z * (- Q))),(z * (- R))) is Element of the carrier of p
((- (z * F)) - (z * Q)) + (z * (- R)) is Element of the carrier of p
the addF of p . (((- (z * F)) - (z * Q)),(z * (- R))) is Element of the carrier of p
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
z is Element of the carrier of p
z |^ 2 is Element of the carrier of p
power p is V18() Function-like V32([: the carrier of p,NAT:], the carrier of p) Element of bool [:[: the carrier of p,NAT:], the carrier of p:]
[: the carrier of p,NAT:] is non empty V18() set
[:[: the carrier of p,NAT:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p,NAT:], the carrier of p:] is non empty set
(power p) . (z,2) is set
F is Element of the carrier of p
z + F is Element of the carrier of p
the addF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the addF of p . (z,F) is Element of the carrier of p
z - F is Element of the carrier of p
- F is Element of the carrier of p
z + (- F) is Element of the carrier of p
the addF of p . (z,(- F)) is Element of the carrier of p
(z + F) * (z - F) is Element of the carrier of p
the multF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
the multF of p . ((z + F),(z - F)) is Element of the carrier of p
F |^ 2 is Element of the carrier of p
(power p) . (F,2) is set
(z |^ 2) - (F |^ 2) is Element of the carrier of p
- (F |^ 2) is Element of the carrier of p
(z |^ 2) + (- (F |^ 2)) is Element of the carrier of p
the addF of p . ((z |^ 2),(- (F |^ 2))) is Element of the carrier of p
z * (z - F) is Element of the carrier of p
the multF of p . (z,(z - F)) is Element of the carrier of p
F * (z - F) is Element of the carrier of p
the multF of p . (F,(z - F)) is Element of the carrier of p
(z * (z - F)) + (F * (z - F)) is Element of the carrier of p
the addF of p . ((z * (z - F)),(F * (z - F))) is Element of the carrier of p
z * z is Element of the carrier of p
the multF of p . (z,z) is Element of the carrier of p
z * F is Element of the carrier of p
the multF of p . (z,F) is Element of the carrier of p
(z * z) - (z * F) is Element of the carrier of p
- (z * F) is Element of the carrier of p
(z * z) + (- (z * F)) is Element of the carrier of p
the addF of p . ((z * z),(- (z * F))) is Element of the carrier of p
((z * z) - (z * F)) + (F * (z - F)) is Element of the carrier of p
the addF of p . (((z * z) - (z * F)),(F * (z - F))) is Element of the carrier of p
(z |^ 2) - (z * F) is Element of the carrier of p
(z |^ 2) + (- (z * F)) is Element of the carrier of p
the addF of p . ((z |^ 2),(- (z * F))) is Element of the carrier of p
((z |^ 2) - (z * F)) + (F * (z - F)) is Element of the carrier of p
the addF of p . (((z |^ 2) - (z * F)),(F * (z - F))) is Element of the carrier of p
F * z is Element of the carrier of p
the multF of p . (F,z) is Element of the carrier of p
F * F is Element of the carrier of p
the multF of p . (F,F) is Element of the carrier of p
(F * z) - (F * F) is Element of the carrier of p
- (F * F) is Element of the carrier of p
(F * z) + (- (F * F)) is Element of the carrier of p
the addF of p . ((F * z),(- (F * F))) is Element of the carrier of p
((z |^ 2) - (z * F)) + ((F * z) - (F * F)) is Element of the carrier of p
the addF of p . (((z |^ 2) - (z * F)),((F * z) - (F * F))) is Element of the carrier of p
(z * F) - (F |^ 2) is Element of the carrier of p
(z * F) + (- (F |^ 2)) is Element of the carrier of p
the addF of p . ((z * F),(- (F |^ 2))) is Element of the carrier of p
((z |^ 2) - (z * F)) + ((z * F) - (F |^ 2)) is Element of the carrier of p
the addF of p . (((z |^ 2) - (z * F)),((z * F) - (F |^ 2))) is Element of the carrier of p
(- (z * F)) + ((z * F) - (F |^ 2)) is Element of the carrier of p
the addF of p . ((- (z * F)),((z * F) - (F |^ 2))) is Element of the carrier of p
(z |^ 2) + ((- (z * F)) + ((z * F) - (F |^ 2))) is Element of the carrier of p
the addF of p . ((z |^ 2),((- (z * F)) + ((z * F) - (F |^ 2)))) is Element of the carrier of p
(- (z * F)) + (z * F) is Element of the carrier of p
the addF of p . ((- (z * F)),(z * F)) is Element of the carrier of p
((- (z * F)) + (z * F)) - (F |^ 2) is Element of the carrier of p
((- (z * F)) + (z * F)) + (- (F |^ 2)) is Element of the carrier of p
the addF of p . (((- (z * F)) + (z * F)),(- (F |^ 2))) is Element of the carrier of p
(z |^ 2) + (((- (z * F)) + (z * F)) - (F |^ 2)) is Element of the carrier of p
the addF of p . ((z |^ 2),(((- (z * F)) + (z * F)) - (F |^ 2))) is Element of the carrier of p
0. p is V55(p) Element of the carrier of p
(0. p) - (F |^ 2) is Element of the carrier of p
(0. p) + (- (F |^ 2)) is Element of the carrier of p
the addF of p . ((0. p),(- (F |^ 2))) is Element of the carrier of p
(z |^ 2) + ((0. p) - (F |^ 2)) is Element of the carrier of p
the addF of p . ((z |^ 2),((0. p) - (F |^ 2))) is Element of the carrier of p
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
z is Element of the carrier of p
z |^ 2 is Element of the carrier of p
power p is V18() Function-like V32([: the carrier of p,NAT:], the carrier of p) Element of bool [:[: the carrier of p,NAT:], the carrier of p:]
[: the carrier of p,NAT:] is non empty V18() set
[:[: the carrier of p,NAT:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p,NAT:], the carrier of p:] is non empty set
(power p) . (z,2) is set
z |^ 3 is Element of the carrier of p
(power p) . (z,3) is set
F is Element of the carrier of p
z + F is Element of the carrier of p
the addF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the addF of p . (z,F) is Element of the carrier of p
z * F is Element of the carrier of p
the multF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
the multF of p . (z,F) is Element of the carrier of p
(z |^ 2) - (z * F) is Element of the carrier of p
- (z * F) is Element of the carrier of p
(z |^ 2) + (- (z * F)) is Element of the carrier of p
the addF of p . ((z |^ 2),(- (z * F))) is Element of the carrier of p
F |^ 2 is Element of the carrier of p
(power p) . (F,2) is set
((z |^ 2) - (z * F)) + (F |^ 2) is Element of the carrier of p
the addF of p . (((z |^ 2) - (z * F)),(F |^ 2)) is Element of the carrier of p
(z + F) * (((z |^ 2) - (z * F)) + (F |^ 2)) is Element of the carrier of p
the multF of p . ((z + F),(((z |^ 2) - (z * F)) + (F |^ 2))) is Element of the carrier of p
F |^ 3 is Element of the carrier of p
(power p) . (F,3) is set
(z |^ 3) + (F |^ 3) is Element of the carrier of p
the addF of p . ((z |^ 3),(F |^ 3)) is Element of the carrier of p
z * (((z |^ 2) - (z * F)) + (F |^ 2)) is Element of the carrier of p
the multF of p . (z,(((z |^ 2) - (z * F)) + (F |^ 2))) is Element of the carrier of p
F * (((z |^ 2) - (z * F)) + (F |^ 2)) is Element of the carrier of p
the multF of p . (F,(((z |^ 2) - (z * F)) + (F |^ 2))) is Element of the carrier of p
(z * (((z |^ 2) - (z * F)) + (F |^ 2))) + (F * (((z |^ 2) - (z * F)) + (F |^ 2))) is Element of the carrier of p
the addF of p . ((z * (((z |^ 2) - (z * F)) + (F |^ 2))),(F * (((z |^ 2) - (z * F)) + (F |^ 2)))) is Element of the carrier of p
z * ((z |^ 2) - (z * F)) is Element of the carrier of p
the multF of p . (z,((z |^ 2) - (z * F))) is Element of the carrier of p
z * (F |^ 2) is Element of the carrier of p
the multF of p . (z,(F |^ 2)) is Element of the carrier of p
(z * ((z |^ 2) - (z * F))) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . ((z * ((z |^ 2) - (z * F))),(z * (F |^ 2))) is Element of the carrier of p
((z * ((z |^ 2) - (z * F))) + (z * (F |^ 2))) + (F * (((z |^ 2) - (z * F)) + (F |^ 2))) is Element of the carrier of p
the addF of p . (((z * ((z |^ 2) - (z * F))) + (z * (F |^ 2))),(F * (((z |^ 2) - (z * F)) + (F |^ 2)))) is Element of the carrier of p
z * (z |^ 2) is Element of the carrier of p
the multF of p . (z,(z |^ 2)) is Element of the carrier of p
z * (z * F) is Element of the carrier of p
the multF of p . (z,(z * F)) is Element of the carrier of p
(z * (z |^ 2)) - (z * (z * F)) is Element of the carrier of p
- (z * (z * F)) is Element of the carrier of p
(z * (z |^ 2)) + (- (z * (z * F))) is Element of the carrier of p
the addF of p . ((z * (z |^ 2)),(- (z * (z * F)))) is Element of the carrier of p
((z * (z |^ 2)) - (z * (z * F))) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . (((z * (z |^ 2)) - (z * (z * F))),(z * (F |^ 2))) is Element of the carrier of p
(((z * (z |^ 2)) - (z * (z * F))) + (z * (F |^ 2))) + (F * (((z |^ 2) - (z * F)) + (F |^ 2))) is Element of the carrier of p
the addF of p . ((((z * (z |^ 2)) - (z * (z * F))) + (z * (F |^ 2))),(F * (((z |^ 2) - (z * F)) + (F |^ 2)))) is Element of the carrier of p
(z |^ 2) * z is Element of the carrier of p
the multF of p . ((z |^ 2),z) is Element of the carrier of p
z * z is Element of the carrier of p
the multF of p . (z,z) is Element of the carrier of p
(z * z) * F is Element of the carrier of p
the multF of p . ((z * z),F) is Element of the carrier of p
((z |^ 2) * z) - ((z * z) * F) is Element of the carrier of p
- ((z * z) * F) is Element of the carrier of p
((z |^ 2) * z) + (- ((z * z) * F)) is Element of the carrier of p
the addF of p . (((z |^ 2) * z),(- ((z * z) * F))) is Element of the carrier of p
(((z |^ 2) * z) - ((z * z) * F)) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . ((((z |^ 2) * z) - ((z * z) * F)),(z * (F |^ 2))) is Element of the carrier of p
((((z |^ 2) * z) - ((z * z) * F)) + (z * (F |^ 2))) + (F * (((z |^ 2) - (z * F)) + (F |^ 2))) is Element of the carrier of p
the addF of p . (((((z |^ 2) * z) - ((z * z) * F)) + (z * (F |^ 2))),(F * (((z |^ 2) - (z * F)) + (F |^ 2)))) is Element of the carrier of p
F * ((z |^ 2) - (z * F)) is Element of the carrier of p
the multF of p . (F,((z |^ 2) - (z * F))) is Element of the carrier of p
F * (F |^ 2) is Element of the carrier of p
the multF of p . (F,(F |^ 2)) is Element of the carrier of p
(F * ((z |^ 2) - (z * F))) + (F * (F |^ 2)) is Element of the carrier of p
the addF of p . ((F * ((z |^ 2) - (z * F))),(F * (F |^ 2))) is Element of the carrier of p
((((z |^ 2) * z) - ((z * z) * F)) + (z * (F |^ 2))) + ((F * ((z |^ 2) - (z * F))) + (F * (F |^ 2))) is Element of the carrier of p
the addF of p . (((((z |^ 2) * z) - ((z * z) * F)) + (z * (F |^ 2))),((F * ((z |^ 2) - (z * F))) + (F * (F |^ 2)))) is Element of the carrier of p
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
z |^ (2 + 1) is Element of the carrier of p
(power p) . (z,(2 + 1)) is set
(z |^ (2 + 1)) - ((z * z) * F) is Element of the carrier of p
(z |^ (2 + 1)) + (- ((z * z) * F)) is Element of the carrier of p
the addF of p . ((z |^ (2 + 1)),(- ((z * z) * F))) is Element of the carrier of p
((z |^ (2 + 1)) - ((z * z) * F)) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . (((z |^ (2 + 1)) - ((z * z) * F)),(z * (F |^ 2))) is Element of the carrier of p
(F |^ 2) * F is Element of the carrier of p
the multF of p . ((F |^ 2),F) is Element of the carrier of p
(F * ((z |^ 2) - (z * F))) + ((F |^ 2) * F) is Element of the carrier of p
the addF of p . ((F * ((z |^ 2) - (z * F))),((F |^ 2) * F)) is Element of the carrier of p
(((z |^ (2 + 1)) - ((z * z) * F)) + (z * (F |^ 2))) + ((F * ((z |^ 2) - (z * F))) + ((F |^ 2) * F)) is Element of the carrier of p
the addF of p . ((((z |^ (2 + 1)) - ((z * z) * F)) + (z * (F |^ 2))),((F * ((z |^ 2) - (z * F))) + ((F |^ 2) * F))) is Element of the carrier of p
(z |^ 3) - ((z * z) * F) is Element of the carrier of p
(z |^ 3) + (- ((z * z) * F)) is Element of the carrier of p
the addF of p . ((z |^ 3),(- ((z * z) * F))) is Element of the carrier of p
((z |^ 3) - ((z * z) * F)) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . (((z |^ 3) - ((z * z) * F)),(z * (F |^ 2))) is Element of the carrier of p
F * (z |^ 2) is Element of the carrier of p
the multF of p . (F,(z |^ 2)) is Element of the carrier of p
F * (z * F) is Element of the carrier of p
the multF of p . (F,(z * F)) is Element of the carrier of p
(F * (z |^ 2)) - (F * (z * F)) is Element of the carrier of p
- (F * (z * F)) is Element of the carrier of p
(F * (z |^ 2)) + (- (F * (z * F))) is Element of the carrier of p
the addF of p . ((F * (z |^ 2)),(- (F * (z * F)))) is Element of the carrier of p
((F * (z |^ 2)) - (F * (z * F))) + ((F |^ 2) * F) is Element of the carrier of p
the addF of p . (((F * (z |^ 2)) - (F * (z * F))),((F |^ 2) * F)) is Element of the carrier of p
(((z |^ 3) - ((z * z) * F)) + (z * (F |^ 2))) + (((F * (z |^ 2)) - (F * (z * F))) + ((F |^ 2) * F)) is Element of the carrier of p
the addF of p . ((((z |^ 3) - ((z * z) * F)) + (z * (F |^ 2))),(((F * (z |^ 2)) - (F * (z * F))) + ((F |^ 2) * F))) is Element of the carrier of p
(z |^ 2) * F is Element of the carrier of p
the multF of p . ((z |^ 2),F) is Element of the carrier of p
(z |^ 3) - ((z |^ 2) * F) is Element of the carrier of p
- ((z |^ 2) * F) is Element of the carrier of p
(z |^ 3) + (- ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((z |^ 3),(- ((z |^ 2) * F))) is Element of the carrier of p
((z |^ 3) - ((z |^ 2) * F)) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . (((z |^ 3) - ((z |^ 2) * F)),(z * (F |^ 2))) is Element of the carrier of p
(((z |^ 3) - ((z |^ 2) * F)) + (z * (F |^ 2))) + (((F * (z |^ 2)) - (F * (z * F))) + ((F |^ 2) * F)) is Element of the carrier of p
the addF of p . ((((z |^ 3) - ((z |^ 2) * F)) + (z * (F |^ 2))),(((F * (z |^ 2)) - (F * (z * F))) + ((F |^ 2) * F))) is Element of the carrier of p
(z * F) * F is Element of the carrier of p
the multF of p . ((z * F),F) is Element of the carrier of p
((z |^ 2) * F) - ((z * F) * F) is Element of the carrier of p
- ((z * F) * F) is Element of the carrier of p
((z |^ 2) * F) + (- ((z * F) * F)) is Element of the carrier of p
the addF of p . (((z |^ 2) * F),(- ((z * F) * F))) is Element of the carrier of p
F |^ (2 + 1) is Element of the carrier of p
(power p) . (F,(2 + 1)) is set
(((z |^ 2) * F) - ((z * F) * F)) + (F |^ (2 + 1)) is Element of the carrier of p
the addF of p . ((((z |^ 2) * F) - ((z * F) * F)),(F |^ (2 + 1))) is Element of the carrier of p
(((z |^ 3) - ((z |^ 2) * F)) + (z * (F |^ 2))) + ((((z |^ 2) * F) - ((z * F) * F)) + (F |^ (2 + 1))) is Element of the carrier of p
the addF of p . ((((z |^ 3) - ((z |^ 2) * F)) + (z * (F |^ 2))),((((z |^ 2) * F) - ((z * F) * F)) + (F |^ (2 + 1)))) is Element of the carrier of p
F * F is Element of the carrier of p
the multF of p . (F,F) is Element of the carrier of p
z * (F * F) is Element of the carrier of p
the multF of p . (z,(F * F)) is Element of the carrier of p
((z |^ 2) * F) - (z * (F * F)) is Element of the carrier of p
- (z * (F * F)) is Element of the carrier of p
((z |^ 2) * F) + (- (z * (F * F))) is Element of the carrier of p
the addF of p . (((z |^ 2) * F),(- (z * (F * F)))) is Element of the carrier of p
(((z |^ 2) * F) - (z * (F * F))) + (F |^ 3) is Element of the carrier of p
the addF of p . ((((z |^ 2) * F) - (z * (F * F))),(F |^ 3)) is Element of the carrier of p
(((z |^ 3) - ((z |^ 2) * F)) + (z * (F |^ 2))) + ((((z |^ 2) * F) - (z * (F * F))) + (F |^ 3)) is Element of the carrier of p
the addF of p . ((((z |^ 3) - ((z |^ 2) * F)) + (z * (F |^ 2))),((((z |^ 2) * F) - (z * (F * F))) + (F |^ 3))) is Element of the carrier of p
(- ((z |^ 2) * F)) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . ((- ((z |^ 2) * F)),(z * (F |^ 2))) is Element of the carrier of p
(z |^ 3) + ((- ((z |^ 2) * F)) + (z * (F |^ 2))) is Element of the carrier of p
the addF of p . ((z |^ 3),((- ((z |^ 2) * F)) + (z * (F |^ 2)))) is Element of the carrier of p
((z |^ 3) + ((- ((z |^ 2) * F)) + (z * (F |^ 2)))) + ((((z |^ 2) * F) - (z * (F * F))) + (F |^ 3)) is Element of the carrier of p
the addF of p . (((z |^ 3) + ((- ((z |^ 2) * F)) + (z * (F |^ 2)))),((((z |^ 2) * F) - (z * (F * F))) + (F |^ 3))) is Element of the carrier of p
((z |^ 2) * F) - (z * (F |^ 2)) is Element of the carrier of p
- (z * (F |^ 2)) is Element of the carrier of p
((z |^ 2) * F) + (- (z * (F |^ 2))) is Element of the carrier of p
the addF of p . (((z |^ 2) * F),(- (z * (F |^ 2)))) is Element of the carrier of p
(((z |^ 2) * F) - (z * (F |^ 2))) + (F |^ 3) is Element of the carrier of p
the addF of p . ((((z |^ 2) * F) - (z * (F |^ 2))),(F |^ 3)) is Element of the carrier of p
((z |^ 3) + ((- ((z |^ 2) * F)) + (z * (F |^ 2)))) + ((((z |^ 2) * F) - (z * (F |^ 2))) + (F |^ 3)) is Element of the carrier of p
the addF of p . (((z |^ 3) + ((- ((z |^ 2) * F)) + (z * (F |^ 2)))),((((z |^ 2) * F) - (z * (F |^ 2))) + (F |^ 3))) is Element of the carrier of p
(z * (F |^ 2)) - ((z |^ 2) * F) is Element of the carrier of p
(z * (F |^ 2)) + (- ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((z * (F |^ 2)),(- ((z |^ 2) * F))) is Element of the carrier of p
(z |^ 3) + ((z * (F |^ 2)) - ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((z |^ 3),((z * (F |^ 2)) - ((z |^ 2) * F))) is Element of the carrier of p
((z |^ 3) + ((z * (F |^ 2)) - ((z |^ 2) * F))) + (((z |^ 2) * F) - (z * (F |^ 2))) is Element of the carrier of p
the addF of p . (((z |^ 3) + ((z * (F |^ 2)) - ((z |^ 2) * F))),(((z |^ 2) * F) - (z * (F |^ 2)))) is Element of the carrier of p
(((z |^ 3) + ((z * (F |^ 2)) - ((z |^ 2) * F))) + (((z |^ 2) * F) - (z * (F |^ 2)))) + (F |^ 3) is Element of the carrier of p
the addF of p . ((((z |^ 3) + ((z * (F |^ 2)) - ((z |^ 2) * F))) + (((z |^ 2) * F) - (z * (F |^ 2)))),(F |^ 3)) is Element of the carrier of p
((z * (F |^ 2)) - ((z |^ 2) * F)) + (((z |^ 2) * F) - (z * (F |^ 2))) is Element of the carrier of p
the addF of p . (((z * (F |^ 2)) - ((z |^ 2) * F)),(((z |^ 2) * F) - (z * (F |^ 2)))) is Element of the carrier of p
(z |^ 3) + (((z * (F |^ 2)) - ((z |^ 2) * F)) + (((z |^ 2) * F) - (z * (F |^ 2)))) is Element of the carrier of p
the addF of p . ((z |^ 3),(((z * (F |^ 2)) - ((z |^ 2) * F)) + (((z |^ 2) * F) - (z * (F |^ 2))))) is Element of the carrier of p
((z |^ 3) + (((z * (F |^ 2)) - ((z |^ 2) * F)) + (((z |^ 2) * F) - (z * (F |^ 2))))) + (F |^ 3) is Element of the carrier of p
the addF of p . (((z |^ 3) + (((z * (F |^ 2)) - ((z |^ 2) * F)) + (((z |^ 2) * F) - (z * (F |^ 2))))),(F |^ 3)) is Element of the carrier of p
((z * (F |^ 2)) - ((z |^ 2) * F)) + ((z |^ 2) * F) is Element of the carrier of p
the addF of p . (((z * (F |^ 2)) - ((z |^ 2) * F)),((z |^ 2) * F)) is Element of the carrier of p
(((z * (F |^ 2)) - ((z |^ 2) * F)) + ((z |^ 2) * F)) - (z * (F |^ 2)) is Element of the carrier of p
(((z * (F |^ 2)) - ((z |^ 2) * F)) + ((z |^ 2) * F)) + (- (z * (F |^ 2))) is Element of the carrier of p
the addF of p . ((((z * (F |^ 2)) - ((z |^ 2) * F)) + ((z |^ 2) * F)),(- (z * (F |^ 2)))) is Element of the carrier of p
(z |^ 3) + ((((z * (F |^ 2)) - ((z |^ 2) * F)) + ((z |^ 2) * F)) - (z * (F |^ 2))) is Element of the carrier of p
the addF of p . ((z |^ 3),((((z * (F |^ 2)) - ((z |^ 2) * F)) + ((z |^ 2) * F)) - (z * (F |^ 2)))) is Element of the carrier of p
((z |^ 3) + ((((z * (F |^ 2)) - ((z |^ 2) * F)) + ((z |^ 2) * F)) - (z * (F |^ 2)))) + (F |^ 3) is Element of the carrier of p
the addF of p . (((z |^ 3) + ((((z * (F |^ 2)) - ((z |^ 2) * F)) + ((z |^ 2) * F)) - (z * (F |^ 2)))),(F |^ 3)) is Element of the carrier of p
(- ((z |^ 2) * F)) + ((z |^ 2) * F) is Element of the carrier of p
the addF of p . ((- ((z |^ 2) * F)),((z |^ 2) * F)) is Element of the carrier of p
(z * (F |^ 2)) + ((- ((z |^ 2) * F)) + ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((z * (F |^ 2)),((- ((z |^ 2) * F)) + ((z |^ 2) * F))) is Element of the carrier of p
((z * (F |^ 2)) + ((- ((z |^ 2) * F)) + ((z |^ 2) * F))) - (z * (F |^ 2)) is Element of the carrier of p
((z * (F |^ 2)) + ((- ((z |^ 2) * F)) + ((z |^ 2) * F))) + (- (z * (F |^ 2))) is Element of the carrier of p
the addF of p . (((z * (F |^ 2)) + ((- ((z |^ 2) * F)) + ((z |^ 2) * F))),(- (z * (F |^ 2)))) is Element of the carrier of p
(z |^ 3) + (((z * (F |^ 2)) + ((- ((z |^ 2) * F)) + ((z |^ 2) * F))) - (z * (F |^ 2))) is Element of the carrier of p
the addF of p . ((z |^ 3),(((z * (F |^ 2)) + ((- ((z |^ 2) * F)) + ((z |^ 2) * F))) - (z * (F |^ 2)))) is Element of the carrier of p
((z |^ 3) + (((z * (F |^ 2)) + ((- ((z |^ 2) * F)) + ((z |^ 2) * F))) - (z * (F |^ 2)))) + (F |^ 3) is Element of the carrier of p
the addF of p . (((z |^ 3) + (((z * (F |^ 2)) + ((- ((z |^ 2) * F)) + ((z |^ 2) * F))) - (z * (F |^ 2)))),(F |^ 3)) is Element of the carrier of p
0. p is V55(p) Element of the carrier of p
(z * (F |^ 2)) + (0. p) is Element of the carrier of p
the addF of p . ((z * (F |^ 2)),(0. p)) is Element of the carrier of p
((z * (F |^ 2)) + (0. p)) - (z * (F |^ 2)) is Element of the carrier of p
((z * (F |^ 2)) + (0. p)) + (- (z * (F |^ 2))) is Element of the carrier of p
the addF of p . (((z * (F |^ 2)) + (0. p)),(- (z * (F |^ 2)))) is Element of the carrier of p
(z |^ 3) + (((z * (F |^ 2)) + (0. p)) - (z * (F |^ 2))) is Element of the carrier of p
the addF of p . ((z |^ 3),(((z * (F |^ 2)) + (0. p)) - (z * (F |^ 2)))) is Element of the carrier of p
((z |^ 3) + (((z * (F |^ 2)) + (0. p)) - (z * (F |^ 2)))) + (F |^ 3) is Element of the carrier of p
the addF of p . (((z |^ 3) + (((z * (F |^ 2)) + (0. p)) - (z * (F |^ 2)))),(F |^ 3)) is Element of the carrier of p
(z * (F |^ 2)) - (z * (F |^ 2)) is Element of the carrier of p
(z * (F |^ 2)) + (- (z * (F |^ 2))) is Element of the carrier of p
the addF of p . ((z * (F |^ 2)),(- (z * (F |^ 2)))) is Element of the carrier of p
(z |^ 3) + ((z * (F |^ 2)) - (z * (F |^ 2))) is Element of the carrier of p
the addF of p . ((z |^ 3),((z * (F |^ 2)) - (z * (F |^ 2)))) is Element of the carrier of p
((z |^ 3) + ((z * (F |^ 2)) - (z * (F |^ 2)))) + (F |^ 3) is Element of the carrier of p
the addF of p . (((z |^ 3) + ((z * (F |^ 2)) - (z * (F |^ 2)))),(F |^ 3)) is Element of the carrier of p
(z |^ 3) + (0. p) is Element of the carrier of p
the addF of p . ((z |^ 3),(0. p)) is Element of the carrier of p
((z |^ 3) + (0. p)) + (F |^ 3) is Element of the carrier of p
the addF of p . (((z |^ 3) + (0. p)),(F |^ 3)) is Element of the carrier of p
p is non empty non degenerated non trivial right_complementable almost_left_invertible V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of p is non empty non trivial set
z is Element of the carrier of p
z |^ 2 is Element of the carrier of p
power p is V18() Function-like V32([: the carrier of p,NAT:], the carrier of p) Element of bool [:[: the carrier of p,NAT:], the carrier of p:]
[: the carrier of p,NAT:] is non empty V18() set
[:[: the carrier of p,NAT:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p,NAT:], the carrier of p:] is non empty set
(power p) . (z,2) is set
z |^ 3 is Element of the carrier of p
(power p) . (z,3) is set
F is Element of the carrier of p
z - F is Element of the carrier of p
- F is Element of the carrier of p
z + (- F) is Element of the carrier of p
the addF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
[: the carrier of p, the carrier of p:] is non empty V18() set
[:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty V18() set
bool [:[: the carrier of p, the carrier of p:], the carrier of p:] is non empty set
the addF of p . (z,(- F)) is Element of the carrier of p
z * F is Element of the carrier of p
the multF of p is V18() Function-like V32([: the carrier of p, the carrier of p:], the carrier of p) Element of bool [:[: the carrier of p, the carrier of p:], the carrier of p:]
the multF of p . (z,F) is Element of the carrier of p
(z |^ 2) + (z * F) is Element of the carrier of p
the addF of p . ((z |^ 2),(z * F)) is Element of the carrier of p
F |^ 2 is Element of the carrier of p
(power p) . (F,2) is set
((z |^ 2) + (z * F)) + (F |^ 2) is Element of the carrier of p
the addF of p . (((z |^ 2) + (z * F)),(F |^ 2)) is Element of the carrier of p
(z - F) * (((z |^ 2) + (z * F)) + (F |^ 2)) is Element of the carrier of p
the multF of p . ((z - F),(((z |^ 2) + (z * F)) + (F |^ 2))) is Element of the carrier of p
F |^ 3 is Element of the carrier of p
(power p) . (F,3) is set
(z |^ 3) - (F |^ 3) is Element of the carrier of p
- (F |^ 3) is Element of the carrier of p
(z |^ 3) + (- (F |^ 3)) is Element of the carrier of p
the addF of p . ((z |^ 3),(- (F |^ 3))) is Element of the carrier of p
z * (((z |^ 2) + (z * F)) + (F |^ 2)) is Element of the carrier of p
the multF of p . (z,(((z |^ 2) + (z * F)) + (F |^ 2))) is Element of the carrier of p
F * (((z |^ 2) + (z * F)) + (F |^ 2)) is Element of the carrier of p
the multF of p . (F,(((z |^ 2) + (z * F)) + (F |^ 2))) is Element of the carrier of p
(z * (((z |^ 2) + (z * F)) + (F |^ 2))) - (F * (((z |^ 2) + (z * F)) + (F |^ 2))) is Element of the carrier of p
- (F * (((z |^ 2) + (z * F)) + (F |^ 2))) is Element of the carrier of p
(z * (((z |^ 2) + (z * F)) + (F |^ 2))) + (- (F * (((z |^ 2) + (z * F)) + (F |^ 2)))) is Element of the carrier of p
the addF of p . ((z * (((z |^ 2) + (z * F)) + (F |^ 2))),(- (F * (((z |^ 2) + (z * F)) + (F |^ 2))))) is Element of the carrier of p
z * ((z |^ 2) + (z * F)) is Element of the carrier of p
the multF of p . (z,((z |^ 2) + (z * F))) is Element of the carrier of p
z * (F |^ 2) is Element of the carrier of p
the multF of p . (z,(F |^ 2)) is Element of the carrier of p
(z * ((z |^ 2) + (z * F))) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . ((z * ((z |^ 2) + (z * F))),(z * (F |^ 2))) is Element of the carrier of p
((z * ((z |^ 2) + (z * F))) + (z * (F |^ 2))) - (F * (((z |^ 2) + (z * F)) + (F |^ 2))) is Element of the carrier of p
((z * ((z |^ 2) + (z * F))) + (z * (F |^ 2))) + (- (F * (((z |^ 2) + (z * F)) + (F |^ 2)))) is Element of the carrier of p
the addF of p . (((z * ((z |^ 2) + (z * F))) + (z * (F |^ 2))),(- (F * (((z |^ 2) + (z * F)) + (F |^ 2))))) is Element of the carrier of p
z * (z |^ 2) is Element of the carrier of p
the multF of p . (z,(z |^ 2)) is Element of the carrier of p
z * (z * F) is Element of the carrier of p
the multF of p . (z,(z * F)) is Element of the carrier of p
(z * (z |^ 2)) + (z * (z * F)) is Element of the carrier of p
the addF of p . ((z * (z |^ 2)),(z * (z * F))) is Element of the carrier of p
((z * (z |^ 2)) + (z * (z * F))) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . (((z * (z |^ 2)) + (z * (z * F))),(z * (F |^ 2))) is Element of the carrier of p
(((z * (z |^ 2)) + (z * (z * F))) + (z * (F |^ 2))) - (F * (((z |^ 2) + (z * F)) + (F |^ 2))) is Element of the carrier of p
(((z * (z |^ 2)) + (z * (z * F))) + (z * (F |^ 2))) + (- (F * (((z |^ 2) + (z * F)) + (F |^ 2)))) is Element of the carrier of p
the addF of p . ((((z * (z |^ 2)) + (z * (z * F))) + (z * (F |^ 2))),(- (F * (((z |^ 2) + (z * F)) + (F |^ 2))))) is Element of the carrier of p
(z |^ 2) * z is Element of the carrier of p
the multF of p . ((z |^ 2),z) is Element of the carrier of p
z * z is Element of the carrier of p
the multF of p . (z,z) is Element of the carrier of p
(z * z) * F is Element of the carrier of p
the multF of p . ((z * z),F) is Element of the carrier of p
((z |^ 2) * z) + ((z * z) * F) is Element of the carrier of p
the addF of p . (((z |^ 2) * z),((z * z) * F)) is Element of the carrier of p
(((z |^ 2) * z) + ((z * z) * F)) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . ((((z |^ 2) * z) + ((z * z) * F)),(z * (F |^ 2))) is Element of the carrier of p
((((z |^ 2) * z) + ((z * z) * F)) + (z * (F |^ 2))) - (F * (((z |^ 2) + (z * F)) + (F |^ 2))) is Element of the carrier of p
((((z |^ 2) * z) + ((z * z) * F)) + (z * (F |^ 2))) + (- (F * (((z |^ 2) + (z * F)) + (F |^ 2)))) is Element of the carrier of p
the addF of p . (((((z |^ 2) * z) + ((z * z) * F)) + (z * (F |^ 2))),(- (F * (((z |^ 2) + (z * F)) + (F |^ 2))))) is Element of the carrier of p
F * ((z |^ 2) + (z * F)) is Element of the carrier of p
the multF of p . (F,((z |^ 2) + (z * F))) is Element of the carrier of p
F * (F |^ 2) is Element of the carrier of p
the multF of p . (F,(F |^ 2)) is Element of the carrier of p
(F * ((z |^ 2) + (z * F))) + (F * (F |^ 2)) is Element of the carrier of p
the addF of p . ((F * ((z |^ 2) + (z * F))),(F * (F |^ 2))) is Element of the carrier of p
((((z |^ 2) * z) + ((z * z) * F)) + (z * (F |^ 2))) - ((F * ((z |^ 2) + (z * F))) + (F * (F |^ 2))) is Element of the carrier of p
- ((F * ((z |^ 2) + (z * F))) + (F * (F |^ 2))) is Element of the carrier of p
((((z |^ 2) * z) + ((z * z) * F)) + (z * (F |^ 2))) + (- ((F * ((z |^ 2) + (z * F))) + (F * (F |^ 2)))) is Element of the carrier of p
the addF of p . (((((z |^ 2) * z) + ((z * z) * F)) + (z * (F |^ 2))),(- ((F * ((z |^ 2) + (z * F))) + (F * (F |^ 2))))) is Element of the carrier of p
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
z |^ (2 + 1) is Element of the carrier of p
(power p) . (z,(2 + 1)) is set
(z |^ (2 + 1)) + ((z * z) * F) is Element of the carrier of p
the addF of p . ((z |^ (2 + 1)),((z * z) * F)) is Element of the carrier of p
((z |^ (2 + 1)) + ((z * z) * F)) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . (((z |^ (2 + 1)) + ((z * z) * F)),(z * (F |^ 2))) is Element of the carrier of p
(F |^ 2) * F is Element of the carrier of p
the multF of p . ((F |^ 2),F) is Element of the carrier of p
(F * ((z |^ 2) + (z * F))) + ((F |^ 2) * F) is Element of the carrier of p
the addF of p . ((F * ((z |^ 2) + (z * F))),((F |^ 2) * F)) is Element of the carrier of p
(((z |^ (2 + 1)) + ((z * z) * F)) + (z * (F |^ 2))) - ((F * ((z |^ 2) + (z * F))) + ((F |^ 2) * F)) is Element of the carrier of p
- ((F * ((z |^ 2) + (z * F))) + ((F |^ 2) * F)) is Element of the carrier of p
(((z |^ (2 + 1)) + ((z * z) * F)) + (z * (F |^ 2))) + (- ((F * ((z |^ 2) + (z * F))) + ((F |^ 2) * F))) is Element of the carrier of p
the addF of p . ((((z |^ (2 + 1)) + ((z * z) * F)) + (z * (F |^ 2))),(- ((F * ((z |^ 2) + (z * F))) + ((F |^ 2) * F)))) is Element of the carrier of p
(z |^ 3) + ((z * z) * F) is Element of the carrier of p
the addF of p . ((z |^ 3),((z * z) * F)) is Element of the carrier of p
((z |^ 3) + ((z * z) * F)) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . (((z |^ 3) + ((z * z) * F)),(z * (F |^ 2))) is Element of the carrier of p
F * (z |^ 2) is Element of the carrier of p
the multF of p . (F,(z |^ 2)) is Element of the carrier of p
F * (z * F) is Element of the carrier of p
the multF of p . (F,(z * F)) is Element of the carrier of p
(F * (z |^ 2)) + (F * (z * F)) is Element of the carrier of p
the addF of p . ((F * (z |^ 2)),(F * (z * F))) is Element of the carrier of p
((F * (z |^ 2)) + (F * (z * F))) + ((F |^ 2) * F) is Element of the carrier of p
the addF of p . (((F * (z |^ 2)) + (F * (z * F))),((F |^ 2) * F)) is Element of the carrier of p
(((z |^ 3) + ((z * z) * F)) + (z * (F |^ 2))) - (((F * (z |^ 2)) + (F * (z * F))) + ((F |^ 2) * F)) is Element of the carrier of p
- (((F * (z |^ 2)) + (F * (z * F))) + ((F |^ 2) * F)) is Element of the carrier of p
(((z |^ 3) + ((z * z) * F)) + (z * (F |^ 2))) + (- (((F * (z |^ 2)) + (F * (z * F))) + ((F |^ 2) * F))) is Element of the carrier of p
the addF of p . ((((z |^ 3) + ((z * z) * F)) + (z * (F |^ 2))),(- (((F * (z |^ 2)) + (F * (z * F))) + ((F |^ 2) * F)))) is Element of the carrier of p
(z |^ 2) * F is Element of the carrier of p
the multF of p . ((z |^ 2),F) is Element of the carrier of p
(z |^ 3) + ((z |^ 2) * F) is Element of the carrier of p
the addF of p . ((z |^ 3),((z |^ 2) * F)) is Element of the carrier of p
((z |^ 3) + ((z |^ 2) * F)) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . (((z |^ 3) + ((z |^ 2) * F)),(z * (F |^ 2))) is Element of the carrier of p
(((z |^ 3) + ((z |^ 2) * F)) + (z * (F |^ 2))) - (((F * (z |^ 2)) + (F * (z * F))) + ((F |^ 2) * F)) is Element of the carrier of p
(((z |^ 3) + ((z |^ 2) * F)) + (z * (F |^ 2))) + (- (((F * (z |^ 2)) + (F * (z * F))) + ((F |^ 2) * F))) is Element of the carrier of p
the addF of p . ((((z |^ 3) + ((z |^ 2) * F)) + (z * (F |^ 2))),(- (((F * (z |^ 2)) + (F * (z * F))) + ((F |^ 2) * F)))) is Element of the carrier of p
F |^ (2 + 1) is Element of the carrier of p
(power p) . (F,(2 + 1)) is set
((F * (z |^ 2)) + (F * (z * F))) + (F |^ (2 + 1)) is Element of the carrier of p
the addF of p . (((F * (z |^ 2)) + (F * (z * F))),(F |^ (2 + 1))) is Element of the carrier of p
(((z |^ 3) + ((z |^ 2) * F)) + (z * (F |^ 2))) - (((F * (z |^ 2)) + (F * (z * F))) + (F |^ (2 + 1))) is Element of the carrier of p
- (((F * (z |^ 2)) + (F * (z * F))) + (F |^ (2 + 1))) is Element of the carrier of p
(((z |^ 3) + ((z |^ 2) * F)) + (z * (F |^ 2))) + (- (((F * (z |^ 2)) + (F * (z * F))) + (F |^ (2 + 1)))) is Element of the carrier of p
the addF of p . ((((z |^ 3) + ((z |^ 2) * F)) + (z * (F |^ 2))),(- (((F * (z |^ 2)) + (F * (z * F))) + (F |^ (2 + 1))))) is Element of the carrier of p
(((z |^ 3) + ((z |^ 2) * F)) + (z * (F |^ 2))) - ((F * (z |^ 2)) + (F * (z * F))) is Element of the carrier of p
- ((F * (z |^ 2)) + (F * (z * F))) is Element of the carrier of p
(((z |^ 3) + ((z |^ 2) * F)) + (z * (F |^ 2))) + (- ((F * (z |^ 2)) + (F * (z * F)))) is Element of the carrier of p
the addF of p . ((((z |^ 3) + ((z |^ 2) * F)) + (z * (F |^ 2))),(- ((F * (z |^ 2)) + (F * (z * F))))) is Element of the carrier of p
((((z |^ 3) + ((z |^ 2) * F)) + (z * (F |^ 2))) - ((F * (z |^ 2)) + (F * (z * F)))) - (F |^ 3) is Element of the carrier of p
((((z |^ 3) + ((z |^ 2) * F)) + (z * (F |^ 2))) - ((F * (z |^ 2)) + (F * (z * F)))) + (- (F |^ 3)) is Element of the carrier of p
the addF of p . (((((z |^ 3) + ((z |^ 2) * F)) + (z * (F |^ 2))) - ((F * (z |^ 2)) + (F * (z * F)))),(- (F |^ 3))) is Element of the carrier of p
((z |^ 2) * F) + (z * (F |^ 2)) is Element of the carrier of p
the addF of p . (((z |^ 2) * F),(z * (F |^ 2))) is Element of the carrier of p
(z |^ 3) + (((z |^ 2) * F) + (z * (F |^ 2))) is Element of the carrier of p
the addF of p . ((z |^ 3),(((z |^ 2) * F) + (z * (F |^ 2)))) is Element of the carrier of p
((z |^ 3) + (((z |^ 2) * F) + (z * (F |^ 2)))) - ((F * (z |^ 2)) + (F * (z * F))) is Element of the carrier of p
((z |^ 3) + (((z |^ 2) * F) + (z * (F |^ 2)))) + (- ((F * (z |^ 2)) + (F * (z * F)))) is Element of the carrier of p
the addF of p . (((z |^ 3) + (((z |^ 2) * F) + (z * (F |^ 2)))),(- ((F * (z |^ 2)) + (F * (z * F))))) is Element of the carrier of p
(((z |^ 3) + (((z |^ 2) * F) + (z * (F |^ 2)))) - ((F * (z |^ 2)) + (F * (z * F)))) - (F |^ 3) is Element of the carrier of p
(((z |^ 3) + (((z |^ 2) * F) + (z * (F |^ 2)))) - ((F * (z |^ 2)) + (F * (z * F)))) + (- (F |^ 3)) is Element of the carrier of p
the addF of p . ((((z |^ 3) + (((z |^ 2) * F) + (z * (F |^ 2)))) - ((F * (z |^ 2)) + (F * (z * F)))),(- (F |^ 3))) is Element of the carrier of p
(((z |^ 2) * F) + (z * (F |^ 2))) - ((F * (z |^ 2)) + (F * (z * F))) is Element of the carrier of p
(((z |^ 2) * F) + (z * (F |^ 2))) + (- ((F * (z |^ 2)) + (F * (z * F)))) is Element of the carrier of p
the addF of p . ((((z |^ 2) * F) + (z * (F |^ 2))),(- ((F * (z |^ 2)) + (F * (z * F))))) is Element of the carrier of p
(z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) - ((F * (z |^ 2)) + (F * (z * F)))) is Element of the carrier of p
the addF of p . ((z |^ 3),((((z |^ 2) * F) + (z * (F |^ 2))) - ((F * (z |^ 2)) + (F * (z * F))))) is Element of the carrier of p
((z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) - ((F * (z |^ 2)) + (F * (z * F))))) - (F |^ 3) is Element of the carrier of p
((z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) - ((F * (z |^ 2)) + (F * (z * F))))) + (- (F |^ 3)) is Element of the carrier of p
the addF of p . (((z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) - ((F * (z |^ 2)) + (F * (z * F))))),(- (F |^ 3))) is Element of the carrier of p
- (F * (z * F)) is Element of the carrier of p
(- (F * (z * F))) - (F * (z |^ 2)) is Element of the carrier of p
- (F * (z |^ 2)) is Element of the carrier of p
(- (F * (z * F))) + (- (F * (z |^ 2))) is Element of the carrier of p
the addF of p . ((- (F * (z * F))),(- (F * (z |^ 2)))) is Element of the carrier of p
(((z |^ 2) * F) + (z * (F |^ 2))) + ((- (F * (z * F))) - (F * (z |^ 2))) is Element of the carrier of p
the addF of p . ((((z |^ 2) * F) + (z * (F |^ 2))),((- (F * (z * F))) - (F * (z |^ 2)))) is Element of the carrier of p
(z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (F * (z * F))) - (F * (z |^ 2)))) is Element of the carrier of p
the addF of p . ((z |^ 3),((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (F * (z * F))) - (F * (z |^ 2))))) is Element of the carrier of p
((z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (F * (z * F))) - (F * (z |^ 2))))) - (F |^ 3) is Element of the carrier of p
((z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (F * (z * F))) - (F * (z |^ 2))))) + (- (F |^ 3)) is Element of the carrier of p
the addF of p . (((z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (F * (z * F))) - (F * (z |^ 2))))),(- (F |^ 3))) is Element of the carrier of p
F * F is Element of the carrier of p
the multF of p . (F,F) is Element of the carrier of p
z * (F * F) is Element of the carrier of p
the multF of p . (z,(F * F)) is Element of the carrier of p
- (z * (F * F)) is Element of the carrier of p
(- (z * (F * F))) - ((z |^ 2) * F) is Element of the carrier of p
- ((z |^ 2) * F) is Element of the carrier of p
(- (z * (F * F))) + (- ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((- (z * (F * F))),(- ((z |^ 2) * F))) is Element of the carrier of p
(((z |^ 2) * F) + (z * (F |^ 2))) + ((- (z * (F * F))) - ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((((z |^ 2) * F) + (z * (F |^ 2))),((- (z * (F * F))) - ((z |^ 2) * F))) is Element of the carrier of p
(z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (z * (F * F))) - ((z |^ 2) * F))) is Element of the carrier of p
the addF of p . ((z |^ 3),((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (z * (F * F))) - ((z |^ 2) * F)))) is Element of the carrier of p
((z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (z * (F * F))) - ((z |^ 2) * F)))) - (F |^ 3) is Element of the carrier of p
((z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (z * (F * F))) - ((z |^ 2) * F)))) + (- (F |^ 3)) is Element of the carrier of p
the addF of p . (((z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (z * (F * F))) - ((z |^ 2) * F)))),(- (F |^ 3))) is Element of the carrier of p
- (z * (F |^ 2)) is Element of the carrier of p
(- (z * (F |^ 2))) - ((z |^ 2) * F) is Element of the carrier of p
(- (z * (F |^ 2))) + (- ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((- (z * (F |^ 2))),(- ((z |^ 2) * F))) is Element of the carrier of p
(((z |^ 2) * F) + (z * (F |^ 2))) + ((- (z * (F |^ 2))) - ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((((z |^ 2) * F) + (z * (F |^ 2))),((- (z * (F |^ 2))) - ((z |^ 2) * F))) is Element of the carrier of p
(z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (z * (F |^ 2))) - ((z |^ 2) * F))) is Element of the carrier of p
the addF of p . ((z |^ 3),((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (z * (F |^ 2))) - ((z |^ 2) * F)))) is Element of the carrier of p
((z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (z * (F |^ 2))) - ((z |^ 2) * F)))) - (F |^ 3) is Element of the carrier of p
((z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (z * (F |^ 2))) - ((z |^ 2) * F)))) + (- (F |^ 3)) is Element of the carrier of p
the addF of p . (((z |^ 3) + ((((z |^ 2) * F) + (z * (F |^ 2))) + ((- (z * (F |^ 2))) - ((z |^ 2) * F)))),(- (F |^ 3))) is Element of the carrier of p
(((z |^ 2) * F) + (z * (F |^ 2))) - (z * (F |^ 2)) is Element of the carrier of p
(((z |^ 2) * F) + (z * (F |^ 2))) + (- (z * (F |^ 2))) is Element of the carrier of p
the addF of p . ((((z |^ 2) * F) + (z * (F |^ 2))),(- (z * (F |^ 2)))) is Element of the carrier of p
((((z |^ 2) * F) + (z * (F |^ 2))) - (z * (F |^ 2))) - ((z |^ 2) * F) is Element of the carrier of p
((((z |^ 2) * F) + (z * (F |^ 2))) - (z * (F |^ 2))) + (- ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . (((((z |^ 2) * F) + (z * (F |^ 2))) - (z * (F |^ 2))),(- ((z |^ 2) * F))) is Element of the carrier of p
(z |^ 3) + (((((z |^ 2) * F) + (z * (F |^ 2))) - (z * (F |^ 2))) - ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((z |^ 3),(((((z |^ 2) * F) + (z * (F |^ 2))) - (z * (F |^ 2))) - ((z |^ 2) * F))) is Element of the carrier of p
((z |^ 3) + (((((z |^ 2) * F) + (z * (F |^ 2))) - (z * (F |^ 2))) - ((z |^ 2) * F))) - (F |^ 3) is Element of the carrier of p
((z |^ 3) + (((((z |^ 2) * F) + (z * (F |^ 2))) - (z * (F |^ 2))) - ((z |^ 2) * F))) + (- (F |^ 3)) is Element of the carrier of p
the addF of p . (((z |^ 3) + (((((z |^ 2) * F) + (z * (F |^ 2))) - (z * (F |^ 2))) - ((z |^ 2) * F))),(- (F |^ 3))) is Element of the carrier of p
(z * (F |^ 2)) - (z * (F |^ 2)) is Element of the carrier of p
(z * (F |^ 2)) + (- (z * (F |^ 2))) is Element of the carrier of p
the addF of p . ((z * (F |^ 2)),(- (z * (F |^ 2)))) is Element of the carrier of p
((z |^ 2) * F) + ((z * (F |^ 2)) - (z * (F |^ 2))) is Element of the carrier of p
the addF of p . (((z |^ 2) * F),((z * (F |^ 2)) - (z * (F |^ 2)))) is Element of the carrier of p
(((z |^ 2) * F) + ((z * (F |^ 2)) - (z * (F |^ 2)))) - ((z |^ 2) * F) is Element of the carrier of p
(((z |^ 2) * F) + ((z * (F |^ 2)) - (z * (F |^ 2)))) + (- ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((((z |^ 2) * F) + ((z * (F |^ 2)) - (z * (F |^ 2)))),(- ((z |^ 2) * F))) is Element of the carrier of p
(z |^ 3) + ((((z |^ 2) * F) + ((z * (F |^ 2)) - (z * (F |^ 2)))) - ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((z |^ 3),((((z |^ 2) * F) + ((z * (F |^ 2)) - (z * (F |^ 2)))) - ((z |^ 2) * F))) is Element of the carrier of p
((z |^ 3) + ((((z |^ 2) * F) + ((z * (F |^ 2)) - (z * (F |^ 2)))) - ((z |^ 2) * F))) - (F |^ 3) is Element of the carrier of p
((z |^ 3) + ((((z |^ 2) * F) + ((z * (F |^ 2)) - (z * (F |^ 2)))) - ((z |^ 2) * F))) + (- (F |^ 3)) is Element of the carrier of p
the addF of p . (((z |^ 3) + ((((z |^ 2) * F) + ((z * (F |^ 2)) - (z * (F |^ 2)))) - ((z |^ 2) * F))),(- (F |^ 3))) is Element of the carrier of p
0. p is V55(p) Element of the carrier of p
((z |^ 2) * F) + (0. p) is Element of the carrier of p
the addF of p . (((z |^ 2) * F),(0. p)) is Element of the carrier of p
(((z |^ 2) * F) + (0. p)) - ((z |^ 2) * F) is Element of the carrier of p
(((z |^ 2) * F) + (0. p)) + (- ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((((z |^ 2) * F) + (0. p)),(- ((z |^ 2) * F))) is Element of the carrier of p
(z |^ 3) + ((((z |^ 2) * F) + (0. p)) - ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((z |^ 3),((((z |^ 2) * F) + (0. p)) - ((z |^ 2) * F))) is Element of the carrier of p
((z |^ 3) + ((((z |^ 2) * F) + (0. p)) - ((z |^ 2) * F))) - (F |^ 3) is Element of the carrier of p
((z |^ 3) + ((((z |^ 2) * F) + (0. p)) - ((z |^ 2) * F))) + (- (F |^ 3)) is Element of the carrier of p
the addF of p . (((z |^ 3) + ((((z |^ 2) * F) + (0. p)) - ((z |^ 2) * F))),(- (F |^ 3))) is Element of the carrier of p
((z |^ 2) * F) - ((z |^ 2) * F) is Element of the carrier of p
((z |^ 2) * F) + (- ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . (((z |^ 2) * F),(- ((z |^ 2) * F))) is Element of the carrier of p
(z |^ 3) + (((z |^ 2) * F) - ((z |^ 2) * F)) is Element of the carrier of p
the addF of p . ((z |^ 3),(((z |^ 2) * F) - ((z |^ 2) * F))) is Element of the carrier of p
((z |^ 3) + (((z |^ 2) * F) - ((z |^ 2) * F))) - (F |^ 3) is Element of the carrier of p
((z |^ 3) + (((z |^ 2) * F) - ((z |^ 2) * F))) + (- (F |^ 3)) is Element of the carrier of p
the addF of p . (((z |^ 3) + (((z |^ 2) * F) - ((z |^ 2) * F))),(- (F |^ 3))) is Element of the carrier of p
(z |^ 3) + (0. p) is Element of the carrier of p
the addF of p . ((z |^ 3),(0. p)) is Element of the carrier of p
((z |^ 3) + (0. p)) - (F |^ 3) is Element of the carrier of p
((z |^ 3) + (0. p)) + (- (F |^ 3)) is Element of the carrier of p
the addF of p . (((z |^ 3) + (0. p)),(- (F |^ 3))) is Element of the carrier of p
p is V11() V12() integer ext-real set
z is V11() V12() integer ext-real set
p + z is V11() V12() integer ext-real set
F is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF F is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF F) is non empty non trivial set
p mod F is V11() V12() integer ext-real set
z mod F is V11() V12() integer ext-real set
(p + z) mod F is V11() V12() integer ext-real set
Q is Element of the carrier of (GF F)
R is Element of the carrier of (GF F)
o2 is Element of the carrier of (GF F)
O is Element of the carrier of (GF F)
Q * O is Element of the carrier of (GF F)
the multF of (GF F) is V18() Function-like V32([: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F)) Element of bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):]
[: the carrier of (GF F), the carrier of (GF F):] is non empty V18() set
[:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):] is non empty V18() set
bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):] is non empty set
the multF of (GF F) . (Q,O) is Element of the carrier of (GF F)
R * O is Element of the carrier of (GF F)
the multF of (GF F) . (R,O) is Element of the carrier of (GF F)
(Q * O) + (R * O) is Element of the carrier of (GF F)
the addF of (GF F) is V18() Function-like V32([: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F)) Element of bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):]
the addF of (GF F) . ((Q * O),(R * O)) is Element of the carrier of (GF F)
o2 * O is Element of the carrier of (GF F)
the multF of (GF F) . (o2,O) is Element of the carrier of (GF F)
Q + R is Element of the carrier of (GF F)
the addF of (GF F) . (Q,R) is Element of the carrier of (GF F)
(Q + R) * O is Element of the carrier of (GF F)
the multF of (GF F) . ((Q + R),O) is Element of the carrier of (GF F)
p is V11() V12() integer ext-real set
p + 1 is V11() V12() integer ext-real set
z is V11() V12() integer ext-real set
F is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF F is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF F) is non empty non trivial set
p mod F is V11() V12() integer ext-real set
z mod F is V11() V12() integer ext-real set
Q is Element of the carrier of (GF F)
R is Element of the carrier of (GF F)
o2 is Element of the carrier of (GF F)
Q * o2 is Element of the carrier of (GF F)
the multF of (GF F) is V18() Function-like V32([: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F)) Element of bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):]
[: the carrier of (GF F), the carrier of (GF F):] is non empty V18() set
[:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):] is non empty V18() set
bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):] is non empty set
the multF of (GF F) . (Q,o2) is Element of the carrier of (GF F)
(Q * o2) + o2 is Element of the carrier of (GF F)
the addF of (GF F) is V18() Function-like V32([: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F)) Element of bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):]
the addF of (GF F) . ((Q * o2),o2) is Element of the carrier of (GF F)
R * o2 is Element of the carrier of (GF F)
the multF of (GF F) . (R,o2) is Element of the carrier of (GF F)
1 mod F is V11() V12() integer ext-real set
O is Element of the carrier of (GF F)
1. (GF F) is V55( GF F) Element of the carrier of (GF F)
(1. (GF F)) * o2 is Element of the carrier of (GF F)
the multF of (GF F) . ((1. (GF F)),o2) is Element of the carrier of (GF F)
(Q * o2) + ((1. (GF F)) * o2) is Element of the carrier of (GF F)
the addF of (GF F) . ((Q * o2),((1. (GF F)) * o2)) is Element of the carrier of (GF F)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
2 mod p is V11() V12() integer ext-real set
z is Element of the carrier of (GF p)
F is Element of the carrier of (GF p)
F + F is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the addF of (GF p) . (F,F) is Element of the carrier of (GF p)
z * F is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the multF of (GF p) . (z,F) is Element of the carrier of (GF p)
1 mod p is V11() V12() integer ext-real set
1 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(1 + 1) mod p is V11() V12() integer ext-real set
Q is Element of the carrier of (GF p)
1. (GF p) is V55( GF p) Element of the carrier of (GF p)
(1. (GF p)) * F is Element of the carrier of (GF p)
the multF of (GF p) . ((1. (GF p)),F) is Element of the carrier of (GF p)
((1. (GF p)) * F) + ((1. (GF p)) * F) is Element of the carrier of (GF p)
the addF of (GF p) . (((1. (GF p)) * F),((1. (GF p)) * F)) is Element of the carrier of (GF p)
F + ((1. (GF p)) * F) is Element of the carrier of (GF p)
the addF of (GF p) . (F,((1. (GF p)) * F)) is Element of the carrier of (GF p)
p is V11() V12() integer ext-real set
z is V11() V12() integer ext-real set
p - z is V11() V12() integer ext-real set
F is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF F is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF F) is non empty non trivial set
p mod F is V11() V12() integer ext-real set
z mod F is V11() V12() integer ext-real set
(p - z) mod F is V11() V12() integer ext-real set
Q is Element of the carrier of (GF F)
R is Element of the carrier of (GF F)
o2 is Element of the carrier of (GF F)
O is Element of the carrier of (GF F)
Q * O is Element of the carrier of (GF F)
the multF of (GF F) is V18() Function-like V32([: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F)) Element of bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):]
[: the carrier of (GF F), the carrier of (GF F):] is non empty V18() set
[:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):] is non empty V18() set
bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):] is non empty set
the multF of (GF F) . (Q,O) is Element of the carrier of (GF F)
R * O is Element of the carrier of (GF F)
the multF of (GF F) . (R,O) is Element of the carrier of (GF F)
(Q * O) - (R * O) is Element of the carrier of (GF F)
- (R * O) is Element of the carrier of (GF F)
(Q * O) + (- (R * O)) is Element of the carrier of (GF F)
the addF of (GF F) is V18() Function-like V32([: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F)) Element of bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):]
the addF of (GF F) . ((Q * O),(- (R * O))) is Element of the carrier of (GF F)
o2 * O is Element of the carrier of (GF F)
the multF of (GF F) . (o2,O) is Element of the carrier of (GF F)
R + o2 is Element of the carrier of (GF F)
the addF of (GF F) . (R,o2) is Element of the carrier of (GF F)
z + (p - z) is V11() V12() integer ext-real set
(z + (p - z)) mod F is V11() V12() integer ext-real set
(R * O) + (o2 * O) is Element of the carrier of (GF F)
the addF of (GF F) . ((R * O),(o2 * O)) is Element of the carrier of (GF F)
((R * O) + (o2 * O)) - (R * O) is Element of the carrier of (GF F)
((R * O) + (o2 * O)) + (- (R * O)) is Element of the carrier of (GF F)
the addF of (GF F) . (((R * O) + (o2 * O)),(- (R * O))) is Element of the carrier of (GF F)
(R * O) + (- (R * O)) is Element of the carrier of (GF F)
the addF of (GF F) . ((R * O),(- (R * O))) is Element of the carrier of (GF F)
(o2 * O) + ((R * O) + (- (R * O))) is Element of the carrier of (GF F)
the addF of (GF F) . ((o2 * O),((R * O) + (- (R * O)))) is Element of the carrier of (GF F)
0. (GF F) is V55( GF F) Element of the carrier of (GF F)
(o2 * O) + (0. (GF F)) is Element of the carrier of (GF F)
the addF of (GF F) . ((o2 * O),(0. (GF F))) is Element of the carrier of (GF F)
p is V11() V12() integer ext-real set
z is V11() V12() integer ext-real set
z + 1 is V11() V12() integer ext-real set
F is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF F is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF F) is non empty non trivial set
p mod F is V11() V12() integer ext-real set
z mod F is V11() V12() integer ext-real set
Q is Element of the carrier of (GF F)
R is Element of the carrier of (GF F)
o2 is Element of the carrier of (GF F)
Q * o2 is Element of the carrier of (GF F)
the multF of (GF F) is V18() Function-like V32([: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F)) Element of bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):]
[: the carrier of (GF F), the carrier of (GF F):] is non empty V18() set
[:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):] is non empty V18() set
bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):] is non empty set
the multF of (GF F) . (Q,o2) is Element of the carrier of (GF F)
R * o2 is Element of the carrier of (GF F)
the multF of (GF F) . (R,o2) is Element of the carrier of (GF F)
(Q * o2) - (R * o2) is Element of the carrier of (GF F)
- (R * o2) is Element of the carrier of (GF F)
(Q * o2) + (- (R * o2)) is Element of the carrier of (GF F)
the addF of (GF F) is V18() Function-like V32([: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F)) Element of bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):]
the addF of (GF F) . ((Q * o2),(- (R * o2))) is Element of the carrier of (GF F)
1 mod F is V11() V12() integer ext-real set
O is Element of the carrier of (GF F)
p - z is V11() V12() integer ext-real set
(p - z) mod F is V11() V12() integer ext-real set
1. (GF F) is V55( GF F) Element of the carrier of (GF F)
(1. (GF F)) * o2 is Element of the carrier of (GF F)
the multF of (GF F) . ((1. (GF F)),o2) is Element of the carrier of (GF F)
p is V11() V12() integer ext-real set
z is V11() V12() integer ext-real set
z + 1 is V11() V12() integer ext-real set
F is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF F is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF F) is non empty non trivial set
p mod F is V11() V12() integer ext-real set
z mod F is V11() V12() integer ext-real set
Q is Element of the carrier of (GF F)
R is Element of the carrier of (GF F)
o2 is Element of the carrier of (GF F)
Q * o2 is Element of the carrier of (GF F)
the multF of (GF F) is V18() Function-like V32([: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F)) Element of bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):]
[: the carrier of (GF F), the carrier of (GF F):] is non empty V18() set
[:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):] is non empty V18() set
bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):] is non empty set
the multF of (GF F) . (Q,o2) is Element of the carrier of (GF F)
(Q * o2) - o2 is Element of the carrier of (GF F)
- o2 is Element of the carrier of (GF F)
(Q * o2) + (- o2) is Element of the carrier of (GF F)
the addF of (GF F) is V18() Function-like V32([: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F)) Element of bool [:[: the carrier of (GF F), the carrier of (GF F):], the carrier of (GF F):]
the addF of (GF F) . ((Q * o2),(- o2)) is Element of the carrier of (GF F)
R * o2 is Element of the carrier of (GF F)
the multF of (GF F) . (R,o2) is Element of the carrier of (GF F)
1 mod F is V11() V12() integer ext-real set
p - 1 is V11() V12() integer ext-real set
(p - 1) mod F is V11() V12() integer ext-real set
O is Element of the carrier of (GF F)
1. (GF F) is V55( GF F) Element of the carrier of (GF F)
(1. (GF F)) * o2 is Element of the carrier of (GF F)
the multF of (GF F) . ((1. (GF F)),o2) is Element of the carrier of (GF F)
(Q * o2) - ((1. (GF F)) * o2) is Element of the carrier of (GF F)
- ((1. (GF F)) * o2) is Element of the carrier of (GF F)
(Q * o2) + (- ((1. (GF F)) * o2)) is Element of the carrier of (GF F)
the addF of (GF F) . ((Q * o2),(- ((1. (GF F)) * o2))) is Element of the carrier of (GF F)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
2 mod p is V11() V12() integer ext-real set
z is Element of the carrier of (GF p)
F is Element of the carrier of (GF p)
z * F is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (z,F) is Element of the carrier of (GF p)
(z * F) - F is Element of the carrier of (GF p)
- F is Element of the carrier of (GF p)
(z * F) + (- F) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . ((z * F),(- F)) is Element of the carrier of (GF p)
1 mod p is V11() V12() integer ext-real set
Q is Element of the carrier of (GF p)
2 - 1 is V11() V12() integer ext-real set
(2 - 1) mod p is V11() V12() integer ext-real set
1. (GF p) is V55( GF p) Element of the carrier of (GF p)
(1. (GF p)) * F is Element of the carrier of (GF p)
the multF of (GF p) . ((1. (GF p)),F) is Element of the carrier of (GF p)
(z * F) - ((1. (GF p)) * F) is Element of the carrier of (GF p)
- ((1. (GF p)) * F) is Element of the carrier of (GF p)
(z * F) + (- ((1. (GF p)) * F)) is Element of the carrier of (GF p)
the addF of (GF p) . ((z * F),(- ((1. (GF p)) * F))) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
2 mod p is V11() V12() integer ext-real set
z is Element of the carrier of (GF p)
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
F + Q is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the addF of (GF p) . (F,Q) is Element of the carrier of (GF p)
(F + Q) |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . ((F + Q),2) is set
F |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (F,2) is set
z * F is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the multF of (GF p) . (z,F) is Element of the carrier of (GF p)
(z * F) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((z * F),Q) is Element of the carrier of (GF p)
(F |^ 2) + ((z * F) * Q) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),((z * F) * Q)) is Element of the carrier of (GF p)
Q |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (Q,2) is set
((F |^ 2) + ((z * F) * Q)) + (Q |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) + ((z * F) * Q)),(Q |^ 2)) is Element of the carrier of (GF p)
(F + Q) * (F + Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((F + Q),(F + Q)) is Element of the carrier of (GF p)
F * (F + Q) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(F + Q)) is Element of the carrier of (GF p)
Q * (F + Q) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(F + Q)) is Element of the carrier of (GF p)
(F * (F + Q)) + (Q * (F + Q)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * (F + Q)),(Q * (F + Q))) is Element of the carrier of (GF p)
F * F is Element of the carrier of (GF p)
the multF of (GF p) . (F,F) is Element of the carrier of (GF p)
F * Q is Element of the carrier of (GF p)
the multF of (GF p) . (F,Q) is Element of the carrier of (GF p)
(F * F) + (F * Q) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * F),(F * Q)) is Element of the carrier of (GF p)
((F * F) + (F * Q)) + (Q * (F + Q)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * F) + (F * Q)),(Q * (F + Q))) is Element of the carrier of (GF p)
(F |^ 2) + (F * Q) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),(F * Q)) is Element of the carrier of (GF p)
((F |^ 2) + (F * Q)) + (Q * (F + Q)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) + (F * Q)),(Q * (F + Q))) is Element of the carrier of (GF p)
Q * F is Element of the carrier of (GF p)
the multF of (GF p) . (Q,F) is Element of the carrier of (GF p)
Q * Q is Element of the carrier of (GF p)
the multF of (GF p) . (Q,Q) is Element of the carrier of (GF p)
(Q * F) + (Q * Q) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * F),(Q * Q)) is Element of the carrier of (GF p)
((F |^ 2) + (F * Q)) + ((Q * F) + (Q * Q)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) + (F * Q)),((Q * F) + (Q * Q))) is Element of the carrier of (GF p)
(F * Q) + (Q |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * Q),(Q |^ 2)) is Element of the carrier of (GF p)
((F |^ 2) + (F * Q)) + ((F * Q) + (Q |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) + (F * Q)),((F * Q) + (Q |^ 2))) is Element of the carrier of (GF p)
(F * Q) + ((F * Q) + (Q |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * Q),((F * Q) + (Q |^ 2))) is Element of the carrier of (GF p)
(F |^ 2) + ((F * Q) + ((F * Q) + (Q |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),((F * Q) + ((F * Q) + (Q |^ 2)))) is Element of the carrier of (GF p)
(F * Q) + (F * Q) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * Q),(F * Q)) is Element of the carrier of (GF p)
((F * Q) + (F * Q)) + (Q |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * Q) + (F * Q)),(Q |^ 2)) is Element of the carrier of (GF p)
(F |^ 2) + (((F * Q) + (F * Q)) + (Q |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),(((F * Q) + (F * Q)) + (Q |^ 2))) is Element of the carrier of (GF p)
z * (F * Q) is Element of the carrier of (GF p)
the multF of (GF p) . (z,(F * Q)) is Element of the carrier of (GF p)
(z * (F * Q)) + (Q |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((z * (F * Q)),(Q |^ 2)) is Element of the carrier of (GF p)
(F |^ 2) + ((z * (F * Q)) + (Q |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),((z * (F * Q)) + (Q |^ 2))) is Element of the carrier of (GF p)
(F |^ 2) + (z * (F * Q)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),(z * (F * Q))) is Element of the carrier of (GF p)
((F |^ 2) + (z * (F * Q))) + (Q |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) + (z * (F * Q))),(Q |^ 2)) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
2 mod p is V11() V12() integer ext-real set
z is Element of the carrier of (GF p)
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
F - Q is Element of the carrier of (GF p)
- Q is Element of the carrier of (GF p)
F + (- Q) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the addF of (GF p) . (F,(- Q)) is Element of the carrier of (GF p)
(F - Q) |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . ((F - Q),2) is set
F |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (F,2) is set
z * F is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the multF of (GF p) . (z,F) is Element of the carrier of (GF p)
(z * F) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((z * F),Q) is Element of the carrier of (GF p)
(F |^ 2) - ((z * F) * Q) is Element of the carrier of (GF p)
- ((z * F) * Q) is Element of the carrier of (GF p)
(F |^ 2) + (- ((z * F) * Q)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),(- ((z * F) * Q))) is Element of the carrier of (GF p)
Q |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (Q,2) is set
((F |^ 2) - ((z * F) * Q)) + (Q |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) - ((z * F) * Q)),(Q |^ 2)) is Element of the carrier of (GF p)
(F - Q) * (F - Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((F - Q),(F - Q)) is Element of the carrier of (GF p)
F * (F - Q) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(F - Q)) is Element of the carrier of (GF p)
Q * (F - Q) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(F - Q)) is Element of the carrier of (GF p)
(F * (F - Q)) - (Q * (F - Q)) is Element of the carrier of (GF p)
- (Q * (F - Q)) is Element of the carrier of (GF p)
(F * (F - Q)) + (- (Q * (F - Q))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * (F - Q)),(- (Q * (F - Q)))) is Element of the carrier of (GF p)
F * F is Element of the carrier of (GF p)
the multF of (GF p) . (F,F) is Element of the carrier of (GF p)
F * Q is Element of the carrier of (GF p)
the multF of (GF p) . (F,Q) is Element of the carrier of (GF p)
(F * F) - (F * Q) is Element of the carrier of (GF p)
- (F * Q) is Element of the carrier of (GF p)
(F * F) + (- (F * Q)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * F),(- (F * Q))) is Element of the carrier of (GF p)
((F * F) - (F * Q)) - (Q * (F - Q)) is Element of the carrier of (GF p)
((F * F) - (F * Q)) + (- (Q * (F - Q))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * F) - (F * Q)),(- (Q * (F - Q)))) is Element of the carrier of (GF p)
(F |^ 2) - (F * Q) is Element of the carrier of (GF p)
(F |^ 2) + (- (F * Q)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),(- (F * Q))) is Element of the carrier of (GF p)
((F |^ 2) - (F * Q)) - (Q * (F - Q)) is Element of the carrier of (GF p)
((F |^ 2) - (F * Q)) + (- (Q * (F - Q))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) - (F * Q)),(- (Q * (F - Q)))) is Element of the carrier of (GF p)
Q * F is Element of the carrier of (GF p)
the multF of (GF p) . (Q,F) is Element of the carrier of (GF p)
Q * Q is Element of the carrier of (GF p)
the multF of (GF p) . (Q,Q) is Element of the carrier of (GF p)
(Q * F) - (Q * Q) is Element of the carrier of (GF p)
- (Q * Q) is Element of the carrier of (GF p)
(Q * F) + (- (Q * Q)) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * F),(- (Q * Q))) is Element of the carrier of (GF p)
((F |^ 2) - (F * Q)) - ((Q * F) - (Q * Q)) is Element of the carrier of (GF p)
- ((Q * F) - (Q * Q)) is Element of the carrier of (GF p)
((F |^ 2) - (F * Q)) + (- ((Q * F) - (Q * Q))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) - (F * Q)),(- ((Q * F) - (Q * Q)))) is Element of the carrier of (GF p)
(F * Q) - (Q |^ 2) is Element of the carrier of (GF p)
- (Q |^ 2) is Element of the carrier of (GF p)
(F * Q) + (- (Q |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * Q),(- (Q |^ 2))) is Element of the carrier of (GF p)
((F |^ 2) - (F * Q)) - ((F * Q) - (Q |^ 2)) is Element of the carrier of (GF p)
- ((F * Q) - (Q |^ 2)) is Element of the carrier of (GF p)
((F |^ 2) - (F * Q)) + (- ((F * Q) - (Q |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) - (F * Q)),(- ((F * Q) - (Q |^ 2)))) is Element of the carrier of (GF p)
(- (F * Q)) - ((F * Q) - (Q |^ 2)) is Element of the carrier of (GF p)
(- (F * Q)) + (- ((F * Q) - (Q |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (F * Q)),(- ((F * Q) - (Q |^ 2)))) is Element of the carrier of (GF p)
(F |^ 2) + ((- (F * Q)) - ((F * Q) - (Q |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),((- (F * Q)) - ((F * Q) - (Q |^ 2)))) is Element of the carrier of (GF p)
(- (F * Q)) + (Q |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (F * Q)),(Q |^ 2)) is Element of the carrier of (GF p)
(- (F * Q)) + ((- (F * Q)) + (Q |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (F * Q)),((- (F * Q)) + (Q |^ 2))) is Element of the carrier of (GF p)
(F |^ 2) + ((- (F * Q)) + ((- (F * Q)) + (Q |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),((- (F * Q)) + ((- (F * Q)) + (Q |^ 2)))) is Element of the carrier of (GF p)
(- (F * Q)) - (F * Q) is Element of the carrier of (GF p)
(- (F * Q)) + (- (F * Q)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (F * Q)),(- (F * Q))) is Element of the carrier of (GF p)
((- (F * Q)) - (F * Q)) + (Q |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (F * Q)) - (F * Q)),(Q |^ 2)) is Element of the carrier of (GF p)
(F |^ 2) + (((- (F * Q)) - (F * Q)) + (Q |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),(((- (F * Q)) - (F * Q)) + (Q |^ 2))) is Element of the carrier of (GF p)
z * (- (F * Q)) is Element of the carrier of (GF p)
the multF of (GF p) . (z,(- (F * Q))) is Element of the carrier of (GF p)
(z * (- (F * Q))) + (Q |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((z * (- (F * Q))),(Q |^ 2)) is Element of the carrier of (GF p)
(F |^ 2) + ((z * (- (F * Q))) + (Q |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),((z * (- (F * Q))) + (Q |^ 2))) is Element of the carrier of (GF p)
(F |^ 2) + (z * (- (F * Q))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),(z * (- (F * Q)))) is Element of the carrier of (GF p)
((F |^ 2) + (z * (- (F * Q)))) + (Q |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) + (z * (- (F * Q)))),(Q |^ 2)) is Element of the carrier of (GF p)
z * (F * Q) is Element of the carrier of (GF p)
the multF of (GF p) . (z,(F * Q)) is Element of the carrier of (GF p)
(F |^ 2) - (z * (F * Q)) is Element of the carrier of (GF p)
- (z * (F * Q)) is Element of the carrier of (GF p)
(F |^ 2) + (- (z * (F * Q))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F |^ 2),(- (z * (F * Q)))) is Element of the carrier of (GF p)
((F |^ 2) - (z * (F * Q))) + (Q |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) - (z * (F * Q))),(Q |^ 2)) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
2 mod p is V11() V12() integer ext-real set
z is Element of the carrier of (GF p)
F is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
F * R is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (F,R) is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
Q * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (Q,o2) is Element of the carrier of (GF p)
(F * R) + (Q * o2) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . ((F * R),(Q * o2)) is Element of the carrier of (GF p)
((F * R) + (Q * o2)) |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (((F * R) + (Q * o2)),2) is set
F |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (F,2) is set
R |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (R,2) is set
(F |^ 2) * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F |^ 2),(R |^ 2)) is Element of the carrier of (GF p)
z * F is Element of the carrier of (GF p)
the multF of (GF p) . (z,F) is Element of the carrier of (GF p)
(z * F) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((z * F),Q) is Element of the carrier of (GF p)
((z * F) * Q) * R is Element of the carrier of (GF p)
the multF of (GF p) . (((z * F) * Q),R) is Element of the carrier of (GF p)
(((z * F) * Q) * R) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . ((((z * F) * Q) * R),o2) is Element of the carrier of (GF p)
((F |^ 2) * (R |^ 2)) + ((((z * F) * Q) * R) * o2) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) * (R |^ 2)),((((z * F) * Q) * R) * o2)) is Element of the carrier of (GF p)
Q |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (Q,2) is set
o2 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (o2,2) is set
(Q |^ 2) * (o2 |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q |^ 2),(o2 |^ 2)) is Element of the carrier of (GF p)
(((F |^ 2) * (R |^ 2)) + ((((z * F) * Q) * R) * o2)) + ((Q |^ 2) * (o2 |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F |^ 2) * (R |^ 2)) + ((((z * F) * Q) * R) * o2)),((Q |^ 2) * (o2 |^ 2))) is Element of the carrier of (GF p)
(F * R) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((F * R),2) is set
z * (F * R) is Element of the carrier of (GF p)
the multF of (GF p) . (z,(F * R)) is Element of the carrier of (GF p)
(z * (F * R)) * (Q * o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((z * (F * R)),(Q * o2)) is Element of the carrier of (GF p)
((F * R) |^ 2) + ((z * (F * R)) * (Q * o2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * R) |^ 2),((z * (F * R)) * (Q * o2))) is Element of the carrier of (GF p)
(Q * o2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((Q * o2),2) is set
(((F * R) |^ 2) + ((z * (F * R)) * (Q * o2))) + ((Q * o2) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * R) |^ 2) + ((z * (F * R)) * (Q * o2))),((Q * o2) |^ 2)) is Element of the carrier of (GF p)
((F |^ 2) * (R |^ 2)) + ((z * (F * R)) * (Q * o2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) * (R |^ 2)),((z * (F * R)) * (Q * o2))) is Element of the carrier of (GF p)
(((F |^ 2) * (R |^ 2)) + ((z * (F * R)) * (Q * o2))) + ((Q * o2) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F |^ 2) * (R |^ 2)) + ((z * (F * R)) * (Q * o2))),((Q * o2) |^ 2)) is Element of the carrier of (GF p)
(((F |^ 2) * (R |^ 2)) + ((z * (F * R)) * (Q * o2))) + ((Q |^ 2) * (o2 |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F |^ 2) * (R |^ 2)) + ((z * (F * R)) * (Q * o2))),((Q |^ 2) * (o2 |^ 2))) is Element of the carrier of (GF p)
(F * R) * (Q * o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * R),(Q * o2)) is Element of the carrier of (GF p)
z * ((F * R) * (Q * o2)) is Element of the carrier of (GF p)
the multF of (GF p) . (z,((F * R) * (Q * o2))) is Element of the carrier of (GF p)
((F |^ 2) * (R |^ 2)) + (z * ((F * R) * (Q * o2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) * (R |^ 2)),(z * ((F * R) * (Q * o2)))) is Element of the carrier of (GF p)
(((F |^ 2) * (R |^ 2)) + (z * ((F * R) * (Q * o2)))) + ((Q |^ 2) * (o2 |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F |^ 2) * (R |^ 2)) + (z * ((F * R) * (Q * o2)))),((Q |^ 2) * (o2 |^ 2))) is Element of the carrier of (GF p)
(F * R) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((F * R),Q) is Element of the carrier of (GF p)
((F * R) * Q) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (((F * R) * Q),o2) is Element of the carrier of (GF p)
z * (((F * R) * Q) * o2) is Element of the carrier of (GF p)
the multF of (GF p) . (z,(((F * R) * Q) * o2)) is Element of the carrier of (GF p)
((F |^ 2) * (R |^ 2)) + (z * (((F * R) * Q) * o2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) * (R |^ 2)),(z * (((F * R) * Q) * o2))) is Element of the carrier of (GF p)
(((F |^ 2) * (R |^ 2)) + (z * (((F * R) * Q) * o2))) + ((Q |^ 2) * (o2 |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F |^ 2) * (R |^ 2)) + (z * (((F * R) * Q) * o2))),((Q |^ 2) * (o2 |^ 2))) is Element of the carrier of (GF p)
F * Q is Element of the carrier of (GF p)
the multF of (GF p) . (F,Q) is Element of the carrier of (GF p)
(F * Q) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),R) is Element of the carrier of (GF p)
((F * Q) * R) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (((F * Q) * R),o2) is Element of the carrier of (GF p)
z * (((F * Q) * R) * o2) is Element of the carrier of (GF p)
the multF of (GF p) . (z,(((F * Q) * R) * o2)) is Element of the carrier of (GF p)
((F |^ 2) * (R |^ 2)) + (z * (((F * Q) * R) * o2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F |^ 2) * (R |^ 2)),(z * (((F * Q) * R) * o2))) is Element of the carrier of (GF p)
(((F |^ 2) * (R |^ 2)) + (z * (((F * Q) * R) * o2))) + ((Q |^ 2) * (o2 |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F |^ 2) * (R |^ 2)) + (z * (((F * Q) * R) * o2))),((Q |^ 2) * (o2 |^ 2))) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
2 mod p is V11() V12() integer ext-real set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
z is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real set
F is Element of the carrier of (GF p)
F |^ z is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (F,z) is set
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
3 mod p is V11() V12() integer ext-real set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
z is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real set
Q is Element of the carrier of (GF p)
Q |^ z is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (Q,z) is set
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
z is set
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
[F,Q] is V29() Element of [: the carrier of (GF p), the carrier of (GF p):]
Disc (F,Q,p) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
(p) is V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
1. (GF p) is V55( GF p) Element of the carrier of (GF p)
2 mod p is V11() V12() integer ext-real set
4 mod p is V11() V12() integer ext-real set
27 mod p is V11() V12() integer ext-real set
R is Element of the carrier of (GF p)
2 * 2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(2 * 2) mod p is V11() V12() integer ext-real set
Q is Element of the carrier of (GF p)
Q * Q is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (Q,Q) is Element of the carrier of (GF p)
Q |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (Q,2) is set
4 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
Disc ((1. (GF p)),(0. (GF p)),p) is Element of the carrier of (GF p)
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(1. (GF p)) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((1. (GF p)),(2 + 1)) is set
R * ((1. (GF p)) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((1. (GF p)) |^ (2 + 1))) is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
(0. (GF p)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((0. (GF p)),2) is set
o2 * ((0. (GF p)) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((0. (GF p)) |^ 2)) is Element of the carrier of (GF p)
(R * ((1. (GF p)) |^ (2 + 1))) + (o2 * ((0. (GF p)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . ((R * ((1. (GF p)) |^ (2 + 1))),(o2 * ((0. (GF p)) |^ 2))) is Element of the carrier of (GF p)
(1. (GF p)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((1. (GF p)),2) is set
((1. (GF p)) |^ 2) * (1. (GF p)) is Element of the carrier of (GF p)
the multF of (GF p) . (((1. (GF p)) |^ 2),(1. (GF p))) is Element of the carrier of (GF p)
R * (((1. (GF p)) |^ 2) * (1. (GF p))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((1. (GF p)) |^ 2) * (1. (GF p)))) is Element of the carrier of (GF p)
(R * (((1. (GF p)) |^ 2) * (1. (GF p)))) + (o2 * ((0. (GF p)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((1. (GF p)) |^ 2) * (1. (GF p)))),(o2 * ((0. (GF p)) |^ 2))) is Element of the carrier of (GF p)
(0. (GF p)) * (0. (GF p)) is Element of the carrier of (GF p)
the multF of (GF p) . ((0. (GF p)),(0. (GF p))) is Element of the carrier of (GF p)
o2 * ((0. (GF p)) * (0. (GF p))) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((0. (GF p)) * (0. (GF p)))) is Element of the carrier of (GF p)
(R * (((1. (GF p)) |^ 2) * (1. (GF p)))) + (o2 * ((0. (GF p)) * (0. (GF p)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((1. (GF p)) |^ 2) * (1. (GF p)))),(o2 * ((0. (GF p)) * (0. (GF p))))) is Element of the carrier of (GF p)
(1. (GF p)) * (1. (GF p)) is Element of the carrier of (GF p)
the multF of (GF p) . ((1. (GF p)),(1. (GF p))) is Element of the carrier of (GF p)
((1. (GF p)) * (1. (GF p))) * (1. (GF p)) is Element of the carrier of (GF p)
the multF of (GF p) . (((1. (GF p)) * (1. (GF p))),(1. (GF p))) is Element of the carrier of (GF p)
R * (((1. (GF p)) * (1. (GF p))) * (1. (GF p))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((1. (GF p)) * (1. (GF p))) * (1. (GF p)))) is Element of the carrier of (GF p)
(R * (((1. (GF p)) * (1. (GF p))) * (1. (GF p)))) + (o2 * ((0. (GF p)) * (0. (GF p)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((1. (GF p)) * (1. (GF p))) * (1. (GF p)))),(o2 * ((0. (GF p)) * (0. (GF p))))) is Element of the carrier of (GF p)
R * ((1. (GF p)) * (1. (GF p))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((1. (GF p)) * (1. (GF p)))) is Element of the carrier of (GF p)
(R * ((1. (GF p)) * (1. (GF p)))) + (o2 * ((0. (GF p)) * (0. (GF p)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((1. (GF p)) * (1. (GF p)))),(o2 * ((0. (GF p)) * (0. (GF p))))) is Element of the carrier of (GF p)
o2 * (0. (GF p)) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(0. (GF p))) is Element of the carrier of (GF p)
(R * ((1. (GF p)) * (1. (GF p)))) + (o2 * (0. (GF p))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((1. (GF p)) * (1. (GF p)))),(o2 * (0. (GF p)))) is Element of the carrier of (GF p)
R * (1. (GF p)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(1. (GF p))) is Element of the carrier of (GF p)
(R * (1. (GF p))) + (o2 * (0. (GF p))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (1. (GF p))),(o2 * (0. (GF p)))) is Element of the carrier of (GF p)
(R * (1. (GF p))) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (1. (GF p))),(0. (GF p))) is Element of the carrier of (GF p)
[(1. (GF p)),(0. (GF p))] is V29() Element of [: the carrier of (GF p), the carrier of (GF p):]
z is Element of the carrier of (GF p)
F is Element of the carrier of (GF p)
[z,F] is V29() Element of [: the carrier of (GF p), the carrier of (GF p):]
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
z is Element of (p)
z `1 is set
z `1 is Element of the carrier of (GF p)
z `2 is set
z `2 is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
Disc ((p,z),(p,z),p) is Element of the carrier of (GF p)
4 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
[F,Q] is V29() Element of [: the carrier of (GF p), the carrier of (GF p):]
Disc (F,Q,p) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of the carrier of (GF p)
F is Element of the carrier of (GF p)
EC_SetProjCo (z,F,p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
Q is Element of EC_SetProjCo (z,F,p)
R is set
o2 is set
O is set
[R,o2,O] is V29() triple set
K23(R,o2) is V29() set
K23(K23(R,o2),O) is V29() set
O is set
P is set
Q is set
[O,P,Q] is V29() triple set
K23(O,P) is V29() set
K23(K23(O,P),Q) is V29() set
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
O is set
O is set
P is set
[O,O,P] is V29() triple set
K23(O,O) is V29() set
K23(K23(O,O),P) is V29() set
R is set
o2 is set
O is set
[R,o2,O] is V29() triple set
K23(R,o2) is V29() set
K23(K23(R,o2),O) is V29() set
O is set
P is set
Q is set
[O,P,Q] is V29() triple set
K23(O,P) is V29() set
K23(K23(O,P),Q) is V29() set
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
O is set
O is set
P is set
[O,O,P] is V29() triple set
K23(O,O) is V29() set
K23(K23(O,O),P) is V29() set
R is set
o2 is set
O is set
[R,o2,O] is V29() triple set
K23(R,o2) is V29() set
K23(K23(R,o2),O) is V29() set
O is set
P is set
Q is set
[O,P,Q] is V29() triple set
K23(O,P) is V29() set
K23(K23(O,P),Q) is V29() set
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
O is set
O is set
P is set
[O,O,P] is V29() triple set
K23(O,O) is V29() set
K23(K23(O,O),P) is V29() set
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of the carrier of (GF p)
F is Element of the carrier of (GF p)
EC_SetProjCo (z,F,p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
Q is Element of EC_SetProjCo (z,F,p)
(p,z,F,Q) is Element of the carrier of (GF p)
(p,z,F,Q) is Element of the carrier of (GF p)
(p,z,F,Q) is Element of the carrier of (GF p)
[(p,z,F,Q),(p,z,F,Q),(p,z,F,Q)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,z,F,Q),(p,z,F,Q)) is V29() set
K23(K23((p,z,F,Q),(p,z,F,Q)),(p,z,F,Q)) is V29() set
R is set
o2 is set
O is set
[R,o2,O] is V29() triple set
K23(R,o2) is V29() set
K23(K23(R,o2),O) is V29() set
[(p,z,F,Q),o2,O] is V29() triple set
K23((p,z,F,Q),o2) is V29() set
K23(K23((p,z,F,Q),o2),O) is V29() set
[(p,z,F,Q),(p,z,F,Q),O] is V29() triple set
K23(K23((p,z,F,Q),(p,z,F,Q)),O) is V29() set
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of the carrier of (GF p)
F is Element of the carrier of (GF p)
EC_SetProjCo (z,F,p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
Q is Element of EC_SetProjCo (z,F,p)
(p,z,F,Q) is Element of the carrier of (GF p)
(p,z,F,Q) is Element of the carrier of (GF p)
(p,z,F,Q) is Element of the carrier of (GF p)
R is Element of ProjCo (GF p)
R `1_3 is Element of the carrier of (GF p)
R `1 is set
(R `1) `1 is set
R `2_3 is Element of the carrier of (GF p)
(R `1) `2 is set
R `3_3 is Element of the carrier of (GF p)
[(p,z,F,Q),(p,z,F,Q),(p,z,F,Q)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,z,F,Q),(p,z,F,Q)) is V29() set
K23(K23((p,z,F,Q),(p,z,F,Q)),(p,z,F,Q)) is V29() set
[(R `1_3),(R `2_3),(R `3_3)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((R `1_3),(R `2_3)) is V29() set
K23(K23((R `1_3),(R `2_3)),(R `3_3)) is V29() set
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of the carrier of (GF p)
F is Element of the carrier of (GF p)
EC_SetProjCo (z,F,p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
O is Element of EC_SetProjCo (z,F,p)
Q is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
[Q,R,o2] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(Q,R) is V29() set
K23(K23(Q,R),o2) is V29() set
(p,z,F,O) is Element of the carrier of (GF p)
(p,z,F,O) is Element of the carrier of (GF p)
(p,z,F,O) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
[:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of the carrier of (GF p)
F is Element of the carrier of (GF p)
EC_WEqProjCo (z,F,p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
EC_SetProjCo (z,F,p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
Q is Element of ProjCo (GF p)
(EC_WEqProjCo (z,F,p)) . Q is Element of the carrier of (GF p)
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ b₁ where b₁ is Element of ProjCo (GF p) : (EC_WEqProjCo (z,F,p)) . b₁ = 0. (GF p) } is set
R is Element of ProjCo (GF p)
(EC_WEqProjCo (z,F,p)) . R is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
z is Element of the carrier of (GF p)
F is Element of the carrier of (GF p)
EC_SetProjCo (z,F,p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
Q is Element of EC_SetProjCo (z,F,p)
(p,z,F,Q) is Element of the carrier of (GF p)
(p,z,F,Q) |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . ((p,z,F,Q),2) is set
(p,z,F,Q) is Element of the carrier of (GF p)
((p,z,F,Q) |^ 2) * (p,z,F,Q) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (((p,z,F,Q) |^ 2),(p,z,F,Q)) is Element of the carrier of (GF p)
(p,z,F,Q) is Element of the carrier of (GF p)
(p,z,F,Q) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,z,F,Q),3) is set
z * (p,z,F,Q) is Element of the carrier of (GF p)
the multF of (GF p) . (z,(p,z,F,Q)) is Element of the carrier of (GF p)
(p,z,F,Q) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,z,F,Q),2) is set
(z * (p,z,F,Q)) * ((p,z,F,Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((z * (p,z,F,Q)),((p,z,F,Q) |^ 2)) is Element of the carrier of (GF p)
((p,z,F,Q) |^ 3) + ((z * (p,z,F,Q)) * ((p,z,F,Q) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . (((p,z,F,Q) |^ 3),((z * (p,z,F,Q)) * ((p,z,F,Q) |^ 2))) is Element of the carrier of (GF p)
(p,z,F,Q) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,z,F,Q),3) is set
F * ((p,z,F,Q) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,z,F,Q) |^ 3)) is Element of the carrier of (GF p)
(((p,z,F,Q) |^ 3) + ((z * (p,z,F,Q)) * ((p,z,F,Q) |^ 2))) + (F * ((p,z,F,Q) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z,F,Q) |^ 3) + ((z * (p,z,F,Q)) * ((p,z,F,Q) |^ 2))),(F * ((p,z,F,Q) |^ 3))) is Element of the carrier of (GF p)
(((p,z,F,Q) |^ 2) * (p,z,F,Q)) - ((((p,z,F,Q) |^ 3) + ((z * (p,z,F,Q)) * ((p,z,F,Q) |^ 2))) + (F * ((p,z,F,Q) |^ 3))) is Element of the carrier of (GF p)
- ((((p,z,F,Q) |^ 3) + ((z * (p,z,F,Q)) * ((p,z,F,Q) |^ 2))) + (F * ((p,z,F,Q) |^ 3))) is Element of the carrier of (GF p)
(((p,z,F,Q) |^ 2) * (p,z,F,Q)) + (- ((((p,z,F,Q) |^ 3) + ((z * (p,z,F,Q)) * ((p,z,F,Q) |^ 2))) + (F * ((p,z,F,Q) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z,F,Q) |^ 2) * (p,z,F,Q)),(- ((((p,z,F,Q) |^ 3) + ((z * (p,z,F,Q)) * ((p,z,F,Q) |^ 2))) + (F * ((p,z,F,Q) |^ 3))))) is Element of the carrier of (GF p)
R is Element of ProjCo (GF p)
R `1_3 is Element of the carrier of (GF p)
R `1 is set
(R `1) `1 is set
R `2_3 is Element of the carrier of (GF p)
(R `1) `2 is set
R `3_3 is Element of the carrier of (GF p)
EC_WEqProjCo (z,F,p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
(EC_WEqProjCo (z,F,p)) . R is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of ProjCo (GF p)
z `3_3 is Element of the carrier of (GF p)
z `1_3 is Element of the carrier of (GF p)
z `1 is set
(z `1) `1 is set
(z `3_3) " is Element of the carrier of (GF p)
(z `1_3) * ((z `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((z `1_3),((z `3_3) ")) is Element of the carrier of (GF p)
z `2_3 is Element of the carrier of (GF p)
(z `1) `2 is set
(z `2_3) * ((z `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((z `2_3),((z `3_3) ")) is Element of the carrier of (GF p)
[((z `1_3) * ((z `3_3) ")),((z `2_3) * ((z `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23(((z `1_3) * ((z `3_3) ")),((z `2_3) * ((z `3_3) "))) is V29() set
K23(K23(((z `1_3) * ((z `3_3) ")),((z `2_3) * ((z `3_3) "))),1) is V29() set
1. (GF p) is V55( GF p) Element of the carrier of (GF p)
[((z `1_3) * ((z `3_3) ")),((z `2_3) * ((z `3_3) ")),(1. (GF p))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(K23(((z `1_3) * ((z `3_3) ")),((z `2_3) * ((z `3_3) "))),(1. (GF p))) is V29() set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
[(0. (GF p)),(0. (GF p)),(0. (GF p))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((0. (GF p)),(0. (GF p))) is V29() set
K23(K23((0. (GF p)),(0. (GF p))),(0. (GF p))) is V29() set
{[(0. (GF p)),(0. (GF p)),(0. (GF p))]} is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] \ {[(0. (GF p)),(0. (GF p)),(0. (GF p))]} is Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
F is Element of ProjCo (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,F) is Element of ProjCo (GF p)
Disc ((p,z),(p,z),p) is Element of the carrier of (GF p)
o2 is Element of ProjCo (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
o2 `3_3 is Element of the carrier of (GF p)
O is Element of ProjCo (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
O `3_3 is Element of the carrier of (GF p)
(p,o2) is Element of ProjCo (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
o2 `3_3 is Element of the carrier of (GF p)
O is Element of ProjCo (GF p)
O `3_3 is Element of the carrier of (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
o2 `1_3 is Element of the carrier of (GF p)
o2 `1 is set
(o2 `1) `1 is set
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
o2 `2_3 is Element of the carrier of (GF p)
(o2 `1) `2 is set
O is Element of the carrier of (GF p)
O * (o2 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (O,(o2 `1_3)) is Element of the carrier of (GF p)
O * (o2 `2_3) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(o2 `2_3)) is Element of the carrier of (GF p)
O * (o2 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(o2 `3_3)) is Element of the carrier of (GF p)
1. (GF p) is V55( GF p) Element of the carrier of (GF p)
(o2 `3_3) " is Element of the carrier of (GF p)
(o2 `1_3) * ((o2 `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 `1_3),((o2 `3_3) ")) is Element of the carrier of (GF p)
(o2 `2_3) * ((o2 `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 `2_3),((o2 `3_3) ")) is Element of the carrier of (GF p)
[((o2 `1_3) * ((o2 `3_3) ")),((o2 `2_3) * ((o2 `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23(((o2 `1_3) * ((o2 `3_3) ")),((o2 `2_3) * ((o2 `3_3) "))) is V29() set
K23(K23(((o2 `1_3) * ((o2 `3_3) ")),((o2 `2_3) * ((o2 `3_3) "))),1) is V29() set
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
Q is Element of ProjCo (GF p)
(p,Q) is Element of ProjCo (GF p)
(p,Q) `3_3 is Element of the carrier of (GF p)
Q `3_3 is Element of the carrier of (GF p)
Q `1_3 is Element of the carrier of (GF p)
Q `1 is set
(Q `1) `1 is set
(Q `3_3) " is Element of the carrier of (GF p)
(Q `1_3) * ((Q `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((Q `1_3),((Q `3_3) ")) is Element of the carrier of (GF p)
Q `2_3 is Element of the carrier of (GF p)
(Q `1) `2 is set
(Q `2_3) * ((Q `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((Q `2_3),((Q `3_3) ")) is Element of the carrier of (GF p)
[((Q `1_3) * ((Q `3_3) ")),((Q `2_3) * ((Q `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23(((Q `1_3) * ((Q `3_3) ")),((Q `2_3) * ((Q `3_3) "))) is V29() set
K23(K23(((Q `1_3) * ((Q `3_3) ")),((Q `2_3) * ((Q `3_3) "))),1) is V29() set
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
Q is Element of ProjCo (GF p)
(p,Q) is Element of ProjCo (GF p)
(p,Q) `3_3 is Element of the carrier of (GF p)
Q `1_3 is Element of the carrier of (GF p)
Q `1 is set
(Q `1) `1 is set
Q `3_3 is Element of the carrier of (GF p)
(Q `3_3) " is Element of the carrier of (GF p)
(Q `1_3) * ((Q `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((Q `1_3),((Q `3_3) ")) is Element of the carrier of (GF p)
Q `2_3 is Element of the carrier of (GF p)
(Q `1) `2 is set
(Q `2_3) * ((Q `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((Q `2_3),((Q `3_3) ")) is Element of the carrier of (GF p)
[((Q `1_3) * ((Q `3_3) ")),((Q `2_3) * ((Q `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23(((Q `1_3) * ((Q `3_3) ")),((Q `2_3) * ((Q `3_3) "))) is V29() set
K23(K23(((Q `1_3) * ((Q `3_3) ")),((Q `2_3) * ((Q `3_3) "))),1) is V29() set
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,F) is Element of ProjCo (GF p)
(p,Q) is Element of ProjCo (GF p)
O is Element of ProjCo (GF p)
O is Element of ProjCo (GF p)
(p,O) is Element of ProjCo (GF p)
(p,O) is Element of ProjCo (GF p)
(p,O) `1_3 is Element of the carrier of (GF p)
(p,O) `1 is set
((p,O) `1) `1 is set
(p,O) `1_3 is Element of the carrier of (GF p)
(p,O) `1 is set
((p,O) `1) `1 is set
(p,O) `2_3 is Element of the carrier of (GF p)
((p,O) `1) `2 is set
(p,O) `2_3 is Element of the carrier of (GF p)
((p,O) `1) `2 is set
(p,O) `3_3 is Element of the carrier of (GF p)
(p,O) `3_3 is Element of the carrier of (GF p)
g2 is Element of the carrier of (GF p)
g2 * ((p,O) `1_3) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (g2,((p,O) `1_3)) is Element of the carrier of (GF p)
g2 * ((p,O) `2_3) is Element of the carrier of (GF p)
the multF of (GF p) . (g2,((p,O) `2_3)) is Element of the carrier of (GF p)
g2 * ((p,O) `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (g2,((p,O) `3_3)) is Element of the carrier of (GF p)
O `3_3 is Element of the carrier of (GF p)
O `3_3 is Element of the carrier of (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
(O `3_3) " is Element of the carrier of (GF p)
(O `1_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `1_3),((O `3_3) ")) is Element of the carrier of (GF p)
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
(O `2_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `2_3),((O `3_3) ")) is Element of the carrier of (GF p)
[((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))) is V29() set
K23(K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))),1) is V29() set
1. (GF p) is V55( GF p) Element of the carrier of (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
O `3_3 is Element of the carrier of (GF p)
(O `3_3) " is Element of the carrier of (GF p)
(O `1_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `1_3),((O `3_3) ")) is Element of the carrier of (GF p)
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
(O `2_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `2_3),((O `3_3) ")) is Element of the carrier of (GF p)
[((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))) is V29() set
K23(K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))),1) is V29() set
[((p,O) `1_3),((p,O) `2_3),((p,O) `3_3)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((p,O) `1_3),((p,O) `2_3)) is V29() set
K23(K23(((p,O) `1_3),((p,O) `2_3)),((p,O) `3_3)) is V29() set
O `3_3 is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
- (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F)),(p,(p,z),(p,z),F)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))) is V29() set
K23(K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))),(p,(p,z),(p,z),F)) is V29() set
[(0. (GF p)),(0. (GF p)),(0. (GF p))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((0. (GF p)),(0. (GF p))) is V29() set
K23(K23((0. (GF p)),(0. (GF p))),(0. (GF p))) is V29() set
{[(0. (GF p)),(0. (GF p)),(0. (GF p))]} is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] \ {[(0. (GF p)),(0. (GF p)),(0. (GF p))]} is Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
O is Element of ProjCo (GF p)
O `2_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `2 is set
(O `2_3) |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . ((O `2_3),2) is set
(p,(p,z),(p,z),F) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),F),2) is set
O `1_3 is Element of the carrier of (GF p)
(O `1) `1 is set
O `3_3 is Element of the carrier of (GF p)
((O `2_3) |^ 2) * (O `3_3) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (((O `2_3) |^ 2),(O `3_3)) is Element of the carrier of (GF p)
(O `1_3) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((O `1_3),3) is set
(p,z) * (O `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(O `1_3)) is Element of the carrier of (GF p)
(O `3_3) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((O `3_3),2) is set
((p,z) * (O `1_3)) * ((O `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (O `1_3)),((O `3_3) |^ 2)) is Element of the carrier of (GF p)
((O `1_3) |^ 3) + (((p,z) * (O `1_3)) * ((O `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . (((O `1_3) |^ 3),(((p,z) * (O `1_3)) * ((O `3_3) |^ 2))) is Element of the carrier of (GF p)
(O `3_3) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((O `3_3),3) is set
(p,z) * ((O `3_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((O `3_3) |^ 3)) is Element of the carrier of (GF p)
(((O `1_3) |^ 3) + (((p,z) * (O `1_3)) * ((O `3_3) |^ 2))) + ((p,z) * ((O `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O `1_3) |^ 3) + (((p,z) * (O `1_3)) * ((O `3_3) |^ 2))),((p,z) * ((O `3_3) |^ 3))) is Element of the carrier of (GF p)
(((O `2_3) |^ 2) * (O `3_3)) - ((((O `1_3) |^ 3) + (((p,z) * (O `1_3)) * ((O `3_3) |^ 2))) + ((p,z) * ((O `3_3) |^ 3))) is Element of the carrier of (GF p)
- ((((O `1_3) |^ 3) + (((p,z) * (O `1_3)) * ((O `3_3) |^ 2))) + ((p,z) * ((O `3_3) |^ 3))) is Element of the carrier of (GF p)
(((O `2_3) |^ 2) * (O `3_3)) + (- ((((O `1_3) |^ 3) + (((p,z) * (O `1_3)) * ((O `3_3) |^ 2))) + ((p,z) * ((O `3_3) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O `2_3) |^ 2) * (O `3_3)),(- ((((O `1_3) |^ 3) + (((p,z) * (O `1_3)) * ((O `3_3) |^ 2))) + ((p,z) * ((O `3_3) |^ 3))))) is Element of the carrier of (GF p)
EC_WEqProjCo ((p,z),(p,z),p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
(EC_WEqProjCo ((p,z),(p,z),p)) . O is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool (ProjCo (GF p)) is non empty set
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
R is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),R) is Element of the carrier of (GF p)
(p,(p,z),(p,z),R) is Element of the carrier of (GF p)
- (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
(p,(p,z),(p,z),R) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),R),(- (p,(p,z),(p,z),R)),(p,(p,z),(p,z),R)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),R),(- (p,(p,z),(p,z),R))) is V29() set
K23(K23((p,(p,z),(p,z),R),(- (p,(p,z),(p,z),R))),(p,(p,z),(p,z),R)) is V29() set
R is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
o2 is Element of EC_SetProjCo ((p,z),(p,z),p)
R . o2 is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
- (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),o2),(- (p,(p,z),(p,z),o2)),(p,(p,z),(p,z),o2)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),o2),(- (p,(p,z),(p,z),o2))) is V29() set
K23(K23((p,(p,z),(p,z),o2),(- (p,(p,z),(p,z),o2))),(p,(p,z),(p,z),o2)) is V29() set
R is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
o2 is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
O is Element of EC_SetProjCo ((p,z),(p,z),p)
R . O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
- (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),O),(- (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),O),(- (p,(p,z),(p,z),O))) is V29() set
K23(K23((p,(p,z),(p,z),O),(- (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is V29() set
o2 . O is Element of EC_SetProjCo ((p,z),(p,z),p)
R is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
o2 is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool (ProjCo (GF p)) is non empty set
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
F . Q is set
F . Q is Element of EC_SetProjCo ((p,z),(p,z),p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),F) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
o2 is Element of ProjCo (GF p)
o2 `1_3 is Element of the carrier of (GF p)
o2 `1 is set
(o2 `1) `1 is set
o2 `2_3 is Element of the carrier of (GF p)
(o2 `1) `2 is set
o2 `3_3 is Element of the carrier of (GF p)
O is Element of ProjCo (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
O `3_3 is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
- (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F)),(p,(p,z),(p,z),F)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))) is V29() set
K23(K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))),(p,(p,z),(p,z),F)) is V29() set
(p,(p,z,(p,z),F)) is Element of ProjCo (GF p)
(p,F) is Element of ProjCo (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),F) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),(p,z,(p,z),F)) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
- (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F)),(p,(p,z),(p,z),F)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))) is V29() set
K23(K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))),(p,(p,z),(p,z),F)) is V29() set
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
- (p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),(p,z,(p,z),F)),(- (p,(p,z),(p,z),(p,z,(p,z),F))),(p,(p,z),(p,z),(p,z,(p,z),F))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),(p,z,(p,z),F)),(- (p,(p,z),(p,z),(p,z,(p,z),F)))) is V29() set
K23(K23((p,(p,z),(p,z),(p,z,(p,z),F)),(- (p,(p,z),(p,z),(p,z,(p,z),F)))),(p,(p,z),(p,z),(p,z,(p,z),F))) is V29() set
(p,(p,z),(p,z),(p,z,(p,z),(p,z,(p,z),F))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),(p,z,(p,z),F))) is Element of the carrier of (GF p)
- (- (p,(p,z),(p,z),F)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),(p,z,(p,z),F))) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),F),(p,(p,z),(p,z),F),(p,(p,z),(p,z),F)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),F),(p,(p,z),(p,z),F)) is V29() set
K23(K23((p,(p,z),(p,z),F),(p,(p,z),(p,z),F)),(p,(p,z),(p,z),F)) is V29() set
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,z,(p,z),F) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z,(p,z),F)) is Element of ProjCo (GF p)
(p,F) is Element of ProjCo (GF p)
(p,z) . (p,F) is set
o2 is Element of ProjCo (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
- (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F)),(p,(p,z),(p,z),F)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))) is V29() set
K23(K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))),(p,(p,z),(p,z),F)) is V29() set
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
(p,o2) is Element of ProjCo (GF p)
o2 `3_3 is Element of the carrier of (GF p)
P is Element of EC_SetProjCo ((p,z),(p,z),p)
o2 `1_3 is Element of the carrier of (GF p)
o2 `1 is set
(o2 `1) `1 is set
(o2 `3_3) " is Element of the carrier of (GF p)
(o2 `1_3) * ((o2 `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((o2 `1_3),((o2 `3_3) ")) is Element of the carrier of (GF p)
o2 `2_3 is Element of the carrier of (GF p)
(o2 `1) `2 is set
(o2 `2_3) * ((o2 `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 `2_3),((o2 `3_3) ")) is Element of the carrier of (GF p)
[((o2 `1_3) * ((o2 `3_3) ")),((o2 `2_3) * ((o2 `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23(((o2 `1_3) * ((o2 `3_3) ")),((o2 `2_3) * ((o2 `3_3) "))) is V29() set
K23(K23(((o2 `1_3) * ((o2 `3_3) ")),((o2 `2_3) * ((o2 `3_3) "))),1) is V29() set
(p,(p,z),(p,z),P) is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * ((o2 `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),F),((o2 `3_3) ")) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * ((o2 `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),F),((o2 `3_3) ")) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) " is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),F),((p,(p,z),(p,z),F) ")) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),F),((p,(p,z),(p,z),F) ")) is Element of the carrier of (GF p)
Q is Element of ProjCo (GF p)
(p,Q) is Element of ProjCo (GF p)
Q `3_3 is Element of the carrier of (GF p)
g3 is Element of EC_SetProjCo ((p,z),(p,z),p)
Q `1_3 is Element of the carrier of (GF p)
Q `1 is set
(Q `1) `1 is set
(Q `3_3) " is Element of the carrier of (GF p)
(Q `1_3) * ((Q `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((Q `1_3),((Q `3_3) ")) is Element of the carrier of (GF p)
Q `2_3 is Element of the carrier of (GF p)
(Q `1) `2 is set
(Q `2_3) * ((Q `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((Q `2_3),((Q `3_3) ")) is Element of the carrier of (GF p)
[((Q `1_3) * ((Q `3_3) ")),((Q `2_3) * ((Q `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
K23(((Q `1_3) * ((Q `3_3) ")),((Q `2_3) * ((Q `3_3) "))) is V29() set
K23(K23(((Q `1_3) * ((Q `3_3) ")),((Q `2_3) * ((Q `3_3) "))),1) is V29() set
(p,(p,z),(p,z),g3) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g3) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g3) is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),F)) * ((Q `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),(p,z,(p,z),F)),((Q `3_3) ")) is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),F)) * ((Q `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),(p,z,(p,z),F)),((Q `3_3) ")) is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),F)) " is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),F)) * ((p,(p,z),(p,z),(p,z,(p,z),F)) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),(p,z,(p,z),F)),((p,(p,z),(p,z),(p,z,(p,z),F)) ")) is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),F)) * ((p,(p,z),(p,z),(p,z,(p,z),F)) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),(p,z,(p,z),F)),((p,(p,z),(p,z),(p,z,(p,z),F)) ")) is Element of the carrier of (GF p)
(- (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((- (p,(p,z),(p,z),F)),((p,(p,z),(p,z),F) ")) is Element of the carrier of (GF p)
[((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")),((- (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
K23(((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")),((- (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) "))) is V29() set
K23(K23(((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")),((- (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) "))),1) is V29() set
(p,z,(p,z),P) is Element of EC_SetProjCo ((p,z),(p,z),p)
- ((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")) is Element of the carrier of (GF p)
[((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")),(- ((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) "))),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
K23(((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")),(- ((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")))) is V29() set
K23(K23(((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")),(- ((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")))),1) is V29() set
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),F) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),Q) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),(p,z,(p,z),Q)) is Element of EC_SetProjCo ((p,z),(p,z),p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,z,(p,z),F) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
o2 is Element of ProjCo (GF p)
o2 `1_3 is Element of the carrier of (GF p)
o2 `1 is set
(o2 `1) `1 is set
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
o2 `2_3 is Element of the carrier of (GF p)
(o2 `1) `2 is set
o2 `3_3 is Element of the carrier of (GF p)
- (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F)),(p,(p,z),(p,z),F)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))) is V29() set
K23(K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))),(p,(p,z),(p,z),F)) is V29() set
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
(p,o2) is Element of ProjCo (GF p)
P is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) " is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ") is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((p,(p,z),(p,z),F),((p,(p,z),(p,z),F) ")) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),F),((p,(p,z),(p,z),F) ")) is Element of the carrier of (GF p)
[((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")),((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23(((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")),((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) "))) is V29() set
K23(K23(((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")),((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) "))),1) is V29() set
(p,(p,z),(p,z),P) is Element of the carrier of (GF p)
Q is Element of ProjCo (GF p)
Q `1_3 is Element of the carrier of (GF p)
Q `1 is set
(Q `1) `1 is set
Q `2_3 is Element of the carrier of (GF p)
(Q `1) `2 is set
Q `3_3 is Element of the carrier of (GF p)
(p,Q) is Element of ProjCo (GF p)
g3 is Element of EC_SetProjCo ((p,z),(p,z),p)
(- (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((- (p,(p,z),(p,z),F)),((p,(p,z),(p,z),F) ")) is Element of the carrier of (GF p)
[((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")),((- (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
K23(((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")),((- (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) "))) is V29() set
K23(K23(((p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ")),((- (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) "))),1) is V29() set
((p,(p,z),(p,z),F) ") * (- (p,(p,z),(p,z),F)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),F) "),(- (p,(p,z),(p,z),F))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) + (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . ((p,(p,z),(p,z),F),(p,(p,z),(p,z),F)) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,z,(p,z),Q) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . ((p,(p,z),(p,z),F),2) is set
((p,(p,z),(p,z),F) |^ 2) * (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (((p,(p,z),(p,z),F) |^ 2),(p,(p,z),(p,z),F)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),F),3) is set
(p,z) * (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(p,(p,z),(p,z),F)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),F),2) is set
((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),F)),((p,(p,z),(p,z),F) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),F) |^ 3) + (((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . (((p,(p,z),(p,z),F) |^ 3),(((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),F),3) is set
(p,z) * ((p,(p,z),(p,z),F) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),F) |^ 3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),F) |^ 3) + (((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),F) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),F) |^ 3) + (((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) |^ 2))),((p,z) * ((p,(p,z),(p,z),F) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),F) |^ 2) * (p,(p,z),(p,z),F)) - ((((p,(p,z),(p,z),F) |^ 3) + (((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),F) |^ 3))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),F) |^ 3) + (((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),F) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),F) |^ 2) * (p,(p,z),(p,z),F)) + (- ((((p,(p,z),(p,z),F) |^ 3) + (((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),F) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),F) |^ 2) * (p,(p,z),(p,z),F)),(- ((((p,(p,z),(p,z),F) |^ 3) + (((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),F) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),F) |^ 3))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),Q),2) is set
((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),Q) |^ 2),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),Q),3) is set
(p,z) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),Q),2) is set
((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),Q)),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),Q) |^ 3),(((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),Q),3) is set
(p,z) * ((p,(p,z),(p,z),Q) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),Q) |^ 3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),Q) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))),((p,z) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q)) - ((((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q)) + (- ((((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),Q) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q)),(- ((((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),Q) |^ 3))))) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),F)),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),F) |^ 3) + (((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),F) |^ 3),(((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),F) |^ 3) + (((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),F) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),F) |^ 3) + (((p,z) * (p,(p,z),(p,z),F)) * ((p,(p,z),(p,z),Q) |^ 2))),((p,z) * ((p,(p,z),(p,z),F) |^ 3))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),F),(p,(p,z),(p,z),F)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),Q),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
- (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),Q),(p,(p,z),(p,z),Q),(p,(p,z),(p,z),Q)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),Q),(p,(p,z),(p,z),Q)) is V29() set
K23(K23((p,(p,z),(p,z),Q),(p,(p,z),(p,z),Q)),(p,(p,z),(p,z),Q)) is V29() set
[(p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q)),(p,(p,z),(p,z),Q)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q))) is V29() set
K23(K23((p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q))),(p,(p,z),(p,z),Q)) is V29() set
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),F) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),Q) is Element of EC_SetProjCo ((p,z),(p,z),p)
O is Element of ProjCo (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
O `3_3 is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
O is Element of ProjCo (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
O `3_3 is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
Q is Element of ProjCo (GF p)
Q `1_3 is Element of the carrier of (GF p)
Q `1 is set
(Q `1) `1 is set
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
Q `2_3 is Element of the carrier of (GF p)
(Q `1) `2 is set
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
Q `3_3 is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),F)) is Element of the carrier of (GF p)
g3 is Element of ProjCo (GF p)
g3 `1_3 is Element of the carrier of (GF p)
g3 `1 is set
(g3 `1) `1 is set
(p,(p,z),(p,z),(p,z,(p,z),Q)) is Element of the carrier of (GF p)
g3 `2_3 is Element of the carrier of (GF p)
(g3 `1) `2 is set
(p,(p,z),(p,z),(p,z,(p,z),Q)) is Element of the carrier of (GF p)
g3 `3_3 is Element of the carrier of (GF p)
(p,(p,z),(p,z),(p,z,(p,z),Q)) is Element of the carrier of (GF p)
(p,F) is Element of ProjCo (GF p)
(p,Q) is Element of ProjCo (GF p)
(p,O) is Element of ProjCo (GF p)
(p,O) `3_3 is Element of the carrier of (GF p)
- (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F)),0] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))) is V29() set
K23(K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))),0) is V29() set
- (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q)),0] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
K23((p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q))) is V29() set
K23(K23((p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q))),0) is V29() set
(p,(p,z,(p,z),Q)) is Element of ProjCo (GF p)
(p,(p,z,(p,z),F)) is Element of ProjCo (GF p)
(p,O) is Element of ProjCo (GF p)
(O `3_3) " is Element of the carrier of (GF p)
(O `1_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((O `1_3),((O `3_3) ")) is Element of the carrier of (GF p)
(O `2_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `2_3),((O `3_3) ")) is Element of the carrier of (GF p)
[((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))) is V29() set
K23(K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))),1) is V29() set
(p,O) `3_3 is Element of the carrier of (GF p)
(p,z) . (p,F) is set
(p,(p,z,(p,z),Q)) is Element of ProjCo (GF p)
(p,(p,z,(p,z),F)) is Element of ProjCo (GF p)
- (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F)),0] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))) is V29() set
K23(K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))),0) is V29() set
(p,Q) is Element of ProjCo (GF p)
(p,g3) is Element of ProjCo (GF p)
(p,g3) `3_3 is Element of the carrier of (GF p)
- (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q)),(p,(p,z),(p,z),Q)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q))) is V29() set
K23(K23((p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q))),(p,(p,z),(p,z),Q)) is V29() set
(p,O) is Element of ProjCo (GF p)
(p,O) is Element of ProjCo (GF p)
- (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F)),(p,(p,z),(p,z),F)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))) is V29() set
K23(K23((p,(p,z),(p,z),F),(- (p,(p,z),(p,z),F))),(p,(p,z),(p,z),F)) is V29() set
(p,(p,z,(p,z),F)) is Element of ProjCo (GF p)
(p,(p,z,(p,z),Q)) is Element of ProjCo (GF p)
(p,Q) is Element of ProjCo (GF p)
(Q `3_3) " is Element of the carrier of (GF p)
(Q `1_3) * ((Q `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((Q `1_3),((Q `3_3) ")) is Element of the carrier of (GF p)
(Q `2_3) * ((Q `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((Q `2_3),((Q `3_3) ")) is Element of the carrier of (GF p)
[((Q `1_3) * ((Q `3_3) ")),((Q `2_3) * ((Q `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23(((Q `1_3) * ((Q `3_3) ")),((Q `2_3) * ((Q `3_3) "))) is V29() set
K23(K23(((Q `1_3) * ((Q `3_3) ")),((Q `2_3) * ((Q `3_3) "))),1) is V29() set
(p,g3) is Element of ProjCo (GF p)
(p,g3) `3_3 is Element of the carrier of (GF p)
- (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q)),(p,(p,z),(p,z),Q)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q))) is V29() set
K23(K23((p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q))),(p,(p,z),(p,z),Q)) is V29() set
g8 is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),g8) is Element of EC_SetProjCo ((p,z),(p,z),p)
gf2 is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),gf2) is Element of EC_SetProjCo ((p,z),(p,z),p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),Q) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),F) is Element of EC_SetProjCo ((p,z),(p,z),p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),Q) is Element of EC_SetProjCo ((p,z),(p,z),p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),O) is Element of EC_SetProjCo ((p,z),(p,z),p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,F) is Element of ProjCo (GF p)
(p,Q) is Element of ProjCo (GF p)
(p,z) . (p,Q) is set
(p,z,(p,z),Q) is Element of EC_SetProjCo ((p,z),(p,z),p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,O) is Element of ProjCo (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((p,(p,z),(p,z),F),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),Q),(p,(p,z),(p,z),F)) is Element of the carrier of (GF p)
O is Element of ProjCo (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
O `3_3 is Element of the carrier of (GF p)
O is Element of ProjCo (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
O `3_3 is Element of the carrier of (GF p)
(p,O) is Element of ProjCo (GF p)
(p,O) is Element of ProjCo (GF p)
(p,O) `3_3 is Element of the carrier of (GF p)
(O `3_3) " is Element of the carrier of (GF p)
(O `1_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `1_3),((O `3_3) ")) is Element of the carrier of (GF p)
(O `2_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `2_3),((O `3_3) ")) is Element of the carrier of (GF p)
[((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))) is V29() set
K23(K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))),1) is V29() set
(p,O) `2_3 is Element of the carrier of (GF p)
(p,O) `1 is set
((p,O) `1) `2 is set
(p,O) `3_3 is Element of the carrier of (GF p)
(O `3_3) " is Element of the carrier of (GF p)
(O `1_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `1_3),((O `3_3) ")) is Element of the carrier of (GF p)
(O `2_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `2_3),((O `3_3) ")) is Element of the carrier of (GF p)
[((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))) is V29() set
K23(K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))),1) is V29() set
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,z,(p,z),Q) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((p,(p,z),(p,z),F),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),Q),(p,(p,z),(p,z),F)) is Element of the carrier of (GF p)
O is Element of ProjCo (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
O `3_3 is Element of the carrier of (GF p)
O is Element of ProjCo (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
O `3_3 is Element of the carrier of (GF p)
(p,O) is Element of ProjCo (GF p)
(p,O) is Element of ProjCo (GF p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
(O `3_3) " is Element of the carrier of (GF p)
(O `1_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `1_3),((O `3_3) ")) is Element of the carrier of (GF p)
(O `2_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `2_3),((O `3_3) ")) is Element of the carrier of (GF p)
[((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))) is V29() set
K23(K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))),1) is V29() set
g3 is Element of EC_SetProjCo ((p,z),(p,z),p)
(O `3_3) " is Element of the carrier of (GF p)
(O `1_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `1_3),((O `3_3) ")) is Element of the carrier of (GF p)
(O `2_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `2_3),((O `3_3) ")) is Element of the carrier of (GF p)
[((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))) is V29() set
K23(K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))),1) is V29() set
(p,(p,z),(p,z),g3) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g3) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,F) is Element of ProjCo (GF p)
(p,Q) is Element of ProjCo (GF p)
(p,z,(p,z),g3) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),F),((O `3_3) ")) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),Q),((O `3_3) ")) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) " is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),F),((p,(p,z),(p,z),F) ")) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) " is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),Q),((p,(p,z),(p,z),Q) ")) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,z,(p,z),Q) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((p,(p,z),(p,z),F),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),Q),(p,(p,z),(p,z),F)) is Element of the carrier of (GF p)
O is Element of ProjCo (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
O `3_3 is Element of the carrier of (GF p)
O is Element of ProjCo (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
O `3_3 is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),F),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),Q),(p,(p,z),(p,z),F)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) " is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),F),((p,(p,z),(p,z),F) ")) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) " is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),Q),((p,(p,z),(p,z),Q) ")) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * ((p,(p,z),(p,z),F) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),F),((p,(p,z),(p,z),F) ")) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),Q),((p,(p,z),(p,z),Q) ")) is Element of the carrier of (GF p)
(p,F) is Element of ProjCo (GF p)
(O `3_3) " is Element of the carrier of (GF p)
(O `1_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `1_3),((O `3_3) ")) is Element of the carrier of (GF p)
(O `2_3) * ((O `3_3) ") is Element of the carrier of (GF p)
the multF of (GF p) . ((O `2_3),((O `3_3) ")) is Element of the carrier of (GF p)
[((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) ")),1] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p),NAT:]
[: the carrier of (GF p), the carrier of (GF p),NAT:] is non empty set
K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))) is V29() set
K23(K23(((O `1_3) * ((O `3_3) ")),((O `2_3) * ((O `3_3) "))),1) is V29() set
(p,Q) is Element of ProjCo (GF p)
(p,z,(p,z),F) is Element of EC_SetProjCo ((p,z),(p,z),p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is Element of EC_SetProjCo ((p,z),(p,z),p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),Q) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((p,(p,z),(p,z),F),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),F) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * (p,(p,z),(p,z),F) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),Q),(p,(p,z),(p,z),F)) is Element of the carrier of (GF p)
Disc ((p,z),(p,z),p) is Element of the carrier of (GF p)
O is Element of ProjCo (GF p)
O `3_3 is Element of the carrier of (GF p)
Q is Element of ProjCo (GF p)
Q `1_3 is Element of the carrier of (GF p)
Q `1 is set
(Q `1) `1 is set
Q `2_3 is Element of the carrier of (GF p)
(Q `1) `2 is set
Q `3_3 is Element of the carrier of (GF p)
g2 is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
P is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),P) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),g2) is Element of EC_SetProjCo ((p,z),(p,z),p)
P is Element of ProjCo (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
- (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
[(p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q)),(p,(p,z),(p,z),Q)] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q))) is V29() set
K23(K23((p,(p,z),(p,z),Q),(- (p,(p,z),(p,z),Q))),(p,(p,z),(p,z),Q)) is V29() set
P `3_3 is Element of the carrier of (GF p)
Q is Element of ProjCo (GF p)
Q `1_3 is Element of the carrier of (GF p)
Q `1 is set
(Q `1) `1 is set
Q `2_3 is Element of the carrier of (GF p)
(Q `1) `2 is set
Q `3_3 is Element of the carrier of (GF p)
g2 is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,z,(p,z),F) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),g2) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,z,(p,z),F) is Element of EC_SetProjCo ((p,z),(p,z),p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
3 mod p is V11() V12() integer ext-real set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of the carrier of (GF p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . ((p,(p,z),(p,z),Q),2) is set
(p,z) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),Q),2) is set
F * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),Q) |^ 2)) + (F * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),Q) |^ 2)),(F * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
Disc ((p,z),(p,z),p) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),Q),2) is set
2 mod p is V11() V12() integer ext-real set
4 mod p is V11() V12() integer ext-real set
9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive Element of NAT
9 mod p is V11() V12() integer ext-real set
27 mod p is V11() V12() integer ext-real set
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
O is Element of the carrier of (GF p)
O |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (O,2) is set
O * O is Element of the carrier of (GF p)
the multF of (GF p) . (O,O) is Element of the carrier of (GF p)
2 * 2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(2 * 2) mod p is V11() V12() integer ext-real set
O is Element of the carrier of (GF p)
F |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (F,2) is set
F * F is Element of the carrier of (GF p)
the multF of (GF p) . (F,F) is Element of the carrier of (GF p)
3 * 3 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(3 * 3) mod p is V11() V12() integer ext-real set
P is Element of the carrier of (GF p)
F |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (F,3) is set
F |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . (F,(2 + 1)) is set
P * F is Element of the carrier of (GF p)
the multF of (GF p) . (P,F) is Element of the carrier of (GF p)
9 * 3 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(9 * 3) mod p is V11() V12() integer ext-real set
Q is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),Q) |^ 2),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),Q),3) is set
(p,z) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),Q)),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),Q) |^ 3),(((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),Q),3) is set
(p,z) * ((p,(p,z),(p,z),Q) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),Q) |^ 3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),Q) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))),((p,z) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q)) - ((((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q)) + (- ((((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),Q) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q)),(- ((((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),Q) |^ 3))))) is Element of the carrier of (GF p)
F * ((((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),Q) |^ 3)))) is Element of the carrier of (GF p)
F * (((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
F * ((p,z) * ((p,(p,z),(p,z),Q) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,z) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2)))) + (F * ((p,z) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * (((p,(p,z),(p,z),Q) |^ 3) + (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2)))),(F * ((p,z) * ((p,(p,z),(p,z),Q) |^ 3)))) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),Q) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),Q) |^ 3)) is Element of the carrier of (GF p)
F * (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),Q) |^ 3)) + (F * (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * ((p,(p,z),(p,z),Q) |^ 3)),(F * (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
((F * ((p,(p,z),(p,z),Q) |^ 3)) + (F * (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2)))) + (F * ((p,z) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * ((p,(p,z),(p,z),Q) |^ 3)) + (F * (((p,z) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2)))),(F * ((p,z) * ((p,(p,z),(p,z),Q) |^ 3)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),Q),(2 + 1)) is set
F * ((p,(p,z),(p,z),Q) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),Q) |^ (2 + 1))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),Q),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
(p,z) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
F * ((p,z) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,z) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),Q) |^ (2 + 1))) + (F * ((p,z) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * ((p,(p,z),(p,z),Q) |^ (2 + 1))),(F * ((p,z) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2))))) is Element of the carrier of (GF p)
((F * ((p,(p,z),(p,z),Q) |^ (2 + 1))) + (F * ((p,z) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2))))) + (F * ((p,z) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * ((p,(p,z),(p,z),Q) |^ (2 + 1))) + (F * ((p,z) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2))))),(F * ((p,z) * ((p,(p,z),(p,z),Q) |^ 3)))) is Element of the carrier of (GF p)
F * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(p,z)) is Element of the carrier of (GF p)
(F * (p,z)) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,z)),((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),Q) |^ (2 + 1))) + ((F * (p,z)) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * ((p,(p,z),(p,z),Q) |^ (2 + 1))),((F * (p,z)) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
((F * ((p,(p,z),(p,z),Q) |^ (2 + 1))) + ((F * (p,z)) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2)))) + (F * ((p,z) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * ((p,(p,z),(p,z),Q) |^ (2 + 1))) + ((F * (p,z)) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2)))),(F * ((p,z) * ((p,(p,z),(p,z),Q) |^ 3)))) is Element of the carrier of (GF p)
(F * (p,z)) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,z)),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (p,z)) * (p,(p,z),(p,z),Q)),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),Q) |^ (2 + 1))) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * ((p,(p,z),(p,z),Q) |^ (2 + 1))),(((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
((F * ((p,(p,z),(p,z),Q) |^ (2 + 1))) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + (F * ((p,z) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * ((p,(p,z),(p,z),Q) |^ (2 + 1))) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))),(F * ((p,z) * ((p,(p,z),(p,z),Q) |^ 3)))) is Element of the carrier of (GF p)
F * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(p,z)) is Element of the carrier of (GF p)
(F * (p,z)) * ((p,(p,z),(p,z),Q) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,z)),((p,(p,z),(p,z),Q) |^ 3)) is Element of the carrier of (GF p)
((F * ((p,(p,z),(p,z),Q) |^ (2 + 1))) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((F * (p,z)) * ((p,(p,z),(p,z),Q) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * ((p,(p,z),(p,z),Q) |^ (2 + 1))) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))),((F * (p,z)) * ((p,(p,z),(p,z),Q) |^ 3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),Q) |^ 2),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
F * (((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q))) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * (((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q))),(((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),Q),(2 + 1)) is set
(F * (p,z)) * ((p,(p,z),(p,z),Q) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,z)),((p,(p,z),(p,z),Q) |^ (2 + 1))) is Element of the carrier of (GF p)
((F * (((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q))) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((F * (p,z)) * ((p,(p,z),(p,z),Q) |^ (2 + 1))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q))) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))),((F * (p,z)) * ((p,(p,z),(p,z),Q) |^ (2 + 1)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),Q) |^ 2),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(F * (p,z)) * (((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,z)),(((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
((F * (((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q))) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((F * (p,z)) * (((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q))) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))),((F * (p,z)) * (((p,(p,z),(p,z),Q) |^ 2) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * ((p,(p,z),(p,z),Q) |^ 2)),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
((F * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q)) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q)),(((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),Q),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
(F * (p,z)) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,z)),((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(((F * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q)) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((F * (p,z)) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q)) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))),((F * (p,z)) * ((p,(p,z),(p,z),Q) * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
(F * (p,z)) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,z)),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (p,z)) * (p,(p,z),(p,z),Q)),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
(((F * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q)) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q)) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))),(((F * (p,z)) * (p,(p,z),(p,z),Q)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) |^ 2) * ((F * (p,z)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),Q) |^ 2),((F * (p,z)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) |^ 2) * ((F * (p,z)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),Q) |^ 2),((F * (p,z)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),Q) |^ 2) * ((F * (p,z)) * (p,(p,z),(p,z),Q))) + (((p,(p,z),(p,z),Q) |^ 2) * ((F * (p,z)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),Q) |^ 2) * ((F * (p,z)) * (p,(p,z),(p,z),Q))),(((p,(p,z),(p,z),Q) |^ 2) * ((F * (p,z)) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
((F * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q)) + ((((p,(p,z),(p,z),Q) |^ 2) * ((F * (p,z)) * (p,(p,z),(p,z),Q))) + (((p,(p,z),(p,z),Q) |^ 2) * ((F * (p,z)) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q)),((((p,(p,z),(p,z),Q) |^ 2) * ((F * (p,z)) * (p,(p,z),(p,z),Q))) + (((p,(p,z),(p,z),Q) |^ 2) * ((F * (p,z)) * (p,(p,z),(p,z),Q))))) is Element of the carrier of (GF p)
((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (p,z)) * (p,(p,z),(p,z),Q)),((F * (p,z)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) |^ 2) * (((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),Q) |^ 2),(((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
((F * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q)) + (((p,(p,z),(p,z),Q) |^ 2) * (((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q)),(((p,(p,z),(p,z),Q) |^ 2) * (((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q))))) is Element of the carrier of (GF p)
- ((p,z) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
(- ((p,z) * ((p,(p,z),(p,z),Q) |^ 2))) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((- ((p,z) * ((p,(p,z),(p,z),Q) |^ 2))),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
((- ((p,z) * ((p,(p,z),(p,z),Q) |^ 2))) * (p,(p,z),(p,z),Q)) + (((p,(p,z),(p,z),Q) |^ 2) * (((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((p,z) * ((p,(p,z),(p,z),Q) |^ 2))) * (p,(p,z),(p,z),Q)),(((p,(p,z),(p,z),Q) |^ 2) * (((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q))))) is Element of the carrier of (GF p)
- (p,z) is Element of the carrier of (GF p)
(- (p,z)) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (p,z)),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
((- (p,z)) * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((- (p,z)) * ((p,(p,z),(p,z),Q) |^ 2)),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(((- (p,z)) * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q)) + (((p,(p,z),(p,z),Q) |^ 2) * (((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- (p,z)) * ((p,(p,z),(p,z),Q) |^ 2)) * (p,(p,z),(p,z),Q)),(((p,(p,z),(p,z),Q) |^ 2) * (((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q))))) is Element of the carrier of (GF p)
(- (p,z)) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (p,z)),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) |^ 2) * ((- (p,z)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),Q) |^ 2),((- (p,z)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),Q) |^ 2) * ((- (p,z)) * (p,(p,z),(p,z),Q))) + (((p,(p,z),(p,z),Q) |^ 2) * (((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),Q) |^ 2) * ((- (p,z)) * (p,(p,z),(p,z),Q))),(((p,(p,z),(p,z),Q) |^ 2) * (((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q))))) is Element of the carrier of (GF p)
((- (p,z)) * (p,(p,z),(p,z),Q)) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (p,z)) * (p,(p,z),(p,z),Q)),(((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) |^ 2) * (((- (p,z)) * (p,(p,z),(p,z),Q)) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),Q) |^ 2),(((- (p,z)) * (p,(p,z),(p,z),Q)) + (((F * (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q))))) is Element of the carrier of (GF p)
((- (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (p,z)) * (p,(p,z),(p,z),Q)),((F * (p,z)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
(((- (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q))) + ((F * (p,z)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- (p,z)) * (p,(p,z),(p,z),Q)) + ((F * (p,z)) * (p,(p,z),(p,z),Q))),((F * (p,z)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
- ((p,z) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(- ((p,z) * (p,(p,z),(p,z),Q))) + ((F * (p,z)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((p,z) * (p,(p,z),(p,z),Q))),((F * (p,z)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
((- ((p,z) * (p,(p,z),(p,z),Q))) + ((F * (p,z)) * (p,(p,z),(p,z),Q))) + ((F * (p,z)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((p,z) * (p,(p,z),(p,z),Q))) + ((F * (p,z)) * (p,(p,z),(p,z),Q))),((F * (p,z)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
F * ((p,z) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,z) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
(F * ((p,z) * (p,(p,z),(p,z),Q))) - ((p,z) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(F * ((p,z) * (p,(p,z),(p,z),Q))) + (- ((p,z) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * ((p,z) * (p,(p,z),(p,z),Q))),(- ((p,z) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
((F * ((p,z) * (p,(p,z),(p,z),Q))) - ((p,z) * (p,(p,z),(p,z),Q))) + ((F * (p,z)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * ((p,z) * (p,(p,z),(p,z),Q))) - ((p,z) * (p,(p,z),(p,z),Q))),((F * (p,z)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
O * ((p,z) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((p,z) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
(O * ((p,z) * (p,(p,z),(p,z),Q))) + ((F * (p,z)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * ((p,z) * (p,(p,z),(p,z),Q))),((F * (p,z)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
- ((F * (p,z)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(O * ((p,z) * (p,(p,z),(p,z),Q))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((O * ((p,z) * (p,(p,z),(p,z),Q))),2) is set
((F * (p,z)) * (p,(p,z),(p,z),Q)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((F * (p,z)) * (p,(p,z),(p,z),Q)),2) is set
((p,z) * (p,(p,z),(p,z),Q)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((p,z) * (p,(p,z),(p,z),Q)),2) is set
(O |^ 2) * (((p,z) * (p,(p,z),(p,z),Q)) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((p,z) * (p,(p,z),(p,z),Q)) |^ 2)) is Element of the carrier of (GF p)
(p,z) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
F * ((p,z) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,z) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
(F * ((p,z) * (p,(p,z),(p,z),Q))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((F * ((p,z) * (p,(p,z),(p,z),Q))),2) is set
(p,z) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,z),2) is set
((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) |^ 2),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
(O |^ 2) * (((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),Q)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((p,z) * (p,(p,z),(p,z),Q)),2) is set
(F |^ 2) * (((p,z) * (p,(p,z),(p,z),Q)) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F |^ 2),(((p,z) * (p,(p,z),(p,z),Q)) |^ 2)) is Element of the carrier of (GF p)
(p,z) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,z),2) is set
((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) |^ 2),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
(F |^ 2) * (((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F |^ 2),(((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(O |^ 2) * ((p,z) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((p,z) |^ 2)) is Element of the carrier of (GF p)
((O |^ 2) * ((p,z) |^ 2)) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,z) |^ 2)),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
(F |^ 2) * ((p,z) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F |^ 2),((p,z) |^ 2)) is Element of the carrier of (GF p)
((F |^ 2) * ((p,z) |^ 2)) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F |^ 2) * ((p,z) |^ 2)),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
((O |^ 2) * ((p,z) |^ 2)) * (((p,z) * ((p,(p,z),(p,z),Q) |^ 2)) + (F * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,z) |^ 2)),(((p,z) * ((p,(p,z),(p,z),Q) |^ 2)) + (F * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,z) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,z) |^ 2)),((p,z) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,z) |^ 2)) * (F * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,z) |^ 2)),(F * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,z) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),Q) |^ 2))) + (((O |^ 2) * ((p,z) |^ 2)) * (F * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,z) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),Q) |^ 2))),(((O |^ 2) * ((p,z) |^ 2)) * (F * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
((p,z) |^ 2) * ((p,z) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) |^ 2),((p,z) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(O |^ 2) * (((p,z) |^ 2) * ((p,z) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((p,z) |^ 2) * ((p,z) * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
((O |^ 2) * (((p,z) |^ 2) * ((p,z) * ((p,(p,z),(p,z),Q) |^ 2)))) + (((O |^ 2) * ((p,z) |^ 2)) * (F * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * (((p,z) |^ 2) * ((p,z) * ((p,(p,z),(p,z),Q) |^ 2)))),(((O |^ 2) * ((p,z) |^ 2)) * (F * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
((p,z) |^ 2) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) |^ 2),(p,z)) is Element of the carrier of (GF p)
(((p,z) |^ 2) * (p,z)) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) |^ 2) * (p,z)),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
(O |^ 2) * ((((p,z) |^ 2) * (p,z)) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((((p,z) |^ 2) * (p,z)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * ((((p,z) |^ 2) * (p,z)) * ((p,(p,z),(p,z),Q) |^ 2))) + (((O |^ 2) * ((p,z) |^ 2)) * (F * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * ((((p,z) |^ 2) * (p,z)) * ((p,(p,z),(p,z),Q) |^ 2))),(((O |^ 2) * ((p,z) |^ 2)) * (F * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
(p,z) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((p,z),(2 + 1)) is set
((p,z) |^ (2 + 1)) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) |^ (2 + 1)),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
(O |^ 2) * (((p,z) |^ (2 + 1)) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((p,z) |^ (2 + 1)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),Q) |^ 2)) * ((O |^ 2) * ((p,z) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * ((p,(p,z),(p,z),Q) |^ 2)),((O |^ 2) * ((p,z) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * (((p,z) |^ (2 + 1)) * ((p,(p,z),(p,z),Q) |^ 2))) + ((F * ((p,(p,z),(p,z),Q) |^ 2)) * ((O |^ 2) * ((p,z) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * (((p,z) |^ (2 + 1)) * ((p,(p,z),(p,z),Q) |^ 2))),((F * ((p,(p,z),(p,z),Q) |^ 2)) * ((O |^ 2) * ((p,z) |^ 2)))) is Element of the carrier of (GF p)
(p,z) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,z),3) is set
((p,z) |^ 3) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) |^ 3),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
(O |^ 2) * (((p,z) |^ 3) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((p,z) |^ 3) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) |^ 2) * ((O |^ 2) * ((p,z) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),Q) |^ 2),((O |^ 2) * ((p,z) |^ 2))) is Element of the carrier of (GF p)
F * (((p,(p,z),(p,z),Q) |^ 2) * ((O |^ 2) * ((p,z) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((p,(p,z),(p,z),Q) |^ 2) * ((O |^ 2) * ((p,z) |^ 2)))) is Element of the carrier of (GF p)
((O |^ 2) * (((p,z) |^ 3) * ((p,(p,z),(p,z),Q) |^ 2))) + (F * (((p,(p,z),(p,z),Q) |^ 2) * ((O |^ 2) * ((p,z) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * (((p,z) |^ 3) * ((p,(p,z),(p,z),Q) |^ 2))),(F * (((p,(p,z),(p,z),Q) |^ 2) * ((O |^ 2) * ((p,z) |^ 2))))) is Element of the carrier of (GF p)
(O |^ 2) * ((p,z) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((p,z) |^ 3)) is Element of the carrier of (GF p)
((O |^ 2) * ((p,z) |^ 3)) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,z) |^ 3)),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
F * (((F |^ 2) * ((p,z) |^ 2)) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((F |^ 2) * ((p,z) |^ 2)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,z) |^ 3)) * ((p,(p,z),(p,z),Q) |^ 2)) + (F * (((F |^ 2) * ((p,z) |^ 2)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,z) |^ 3)) * ((p,(p,z),(p,z),Q) |^ 2)),(F * (((F |^ 2) * ((p,z) |^ 2)) * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
F * ((F |^ 2) * (((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((F |^ 2) * (((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,z) |^ 3)) * ((p,(p,z),(p,z),Q) |^ 2)) + (F * ((F |^ 2) * (((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,z) |^ 3)) * ((p,(p,z),(p,z),Q) |^ 2)),(F * ((F |^ 2) * (((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2))))) is Element of the carrier of (GF p)
F * (F |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(F |^ 2)) is Element of the carrier of (GF p)
(F * (F |^ 2)) * (((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (F |^ 2)),(((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,z) |^ 3)) * ((p,(p,z),(p,z),Q) |^ 2)) + ((F * (F |^ 2)) * (((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,z) |^ 3)) * ((p,(p,z),(p,z),Q) |^ 2)),((F * (F |^ 2)) * (((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) |^ 2) * ((O |^ 2) * ((p,z) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),Q) |^ 2),((O |^ 2) * ((p,z) |^ 3))) is Element of the carrier of (GF p)
(F |^ (2 + 1)) * (((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F |^ (2 + 1)),(((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),Q) |^ 2) * ((O |^ 2) * ((p,z) |^ 3))) + ((F |^ (2 + 1)) * (((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),Q) |^ 2) * ((O |^ 2) * ((p,z) |^ 3))),((F |^ (2 + 1)) * (((p,z) |^ 2) * ((p,(p,z),(p,z),Q) |^ 2)))) is Element of the carrier of (GF p)
(F |^ 3) * ((p,z) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F |^ 3),((p,z) |^ 2)) is Element of the carrier of (GF p)
((F |^ 3) * ((p,z) |^ 2)) * ((p,(p,z),(p,z),Q) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F |^ 3) * ((p,z) |^ 2)),((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),Q) |^ 2) * ((O |^ 2) * ((p,z) |^ 3))) + (((F |^ 3) * ((p,z) |^ 2)) * ((p,(p,z),(p,z),Q) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),Q) |^ 2) * ((O |^ 2) * ((p,z) |^ 3))),(((F |^ 3) * ((p,z) |^ 2)) * ((p,(p,z),(p,z),Q) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,z) |^ 3)) + ((F |^ 3) * ((p,z) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * ((p,z) |^ 3)),((F |^ 3) * ((p,z) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) |^ 2) * (((O |^ 2) * ((p,z) |^ 3)) + ((F |^ 3) * ((p,z) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),Q) |^ 2),(((O |^ 2) * ((p,z) |^ 3)) + ((F |^ 3) * ((p,z) |^ 2)))) is Element of the carrier of (GF p)
O * ((p,z) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((p,z) |^ 3)) is Element of the carrier of (GF p)
Q * ((p,z) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,z) |^ 2)) is Element of the carrier of (GF p)
(O * ((p,z) |^ 3)) + (Q * ((p,z) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * ((p,z) |^ 3)),(Q * ((p,z) |^ 2))) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
2 mod p is V11() V12() integer ext-real set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
Q |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (Q,2) is set
R |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (R,3) is set
R |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (R,2) is set
F * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (F,(R |^ 2)) is Element of the carrier of (GF p)
R * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (R,o2) is Element of the carrier of (GF p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3) is Element of the carrier of (GF p)
- (R |^ 3) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (R |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (R |^ 3))) is Element of the carrier of (GF p)
(F * (R |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (R |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (R |^ 2)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)) + (- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)),(- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2 is Element of the carrier of (GF p)
- o2 is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- o2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- o2)) is Element of the carrier of (GF p)
Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) + (- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)),(- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
[(R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is V29() set
K23(K23((R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is V29() set
R * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
R * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
P is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
P `2_3 is Element of the carrier of (GF p)
P `1 is set
(P `1) `2 is set
(R * (p,(p,z),(p,z),O)) * (P `2_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(P `2_3)) is Element of the carrier of (GF p)
P `1_3 is Element of the carrier of (GF p)
(P `1) `1 is set
(P `1_3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `1_3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
P `3_3 is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(P `3_3)) is Element of the carrier of (GF p)
((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
((P `1_3) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((P `1_3) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))),((R * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
- ((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(R * o2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * o2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * o2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
((R * o2) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * o2) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * o2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * o2) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * o2) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),o2) is Element of the carrier of (GF p)
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
R |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . (R,(2 + 1)) is set
(R |^ (2 + 1)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ (2 + 1)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ (2 + 1)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * o2) - ((p,(p,z),(p,z),O) * (((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * o2) + (- ((p,(p,z),(p,z),O) * (((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (p,(p,z),(p,z),O)) * o2),(- ((p,(p,z),(p,z),O) * (((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(R |^ 2) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),R) is Element of the carrier of (GF p)
((R |^ 2) * R) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * R),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * R) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * o2) - ((p,(p,z),(p,z),O) * ((((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * ((((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * o2) + (- ((p,(p,z),(p,z),O) * ((((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (p,(p,z),(p,z),O)) * o2),(- ((p,(p,z),(p,z),O) * ((((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * R) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * o2) - (((((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * o2) + (- (((((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (p,(p,z),(p,z),O)) * o2),(- (((((R |^ 2) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(R |^ 2)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (R |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),O)) * (R |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),O)) * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (p,(p,z),(p,z),O)) * (R |^ 2)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * o2) - ((((R * (p,(p,z),(p,z),O)) * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((((R * (p,(p,z),(p,z),O)) * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * o2) + (- ((((R * (p,(p,z),(p,z),O)) * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (p,(p,z),(p,z),O)) * o2),(- ((((R * (p,(p,z),(p,z),O)) * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * o2) - ((R * (p,(p,z),(p,z),O)) * (((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((R * (p,(p,z),(p,z),O)) * (((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * o2) + (- ((R * (p,(p,z),(p,z),O)) * (((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (p,(p,z),(p,z),O)) * o2),(- ((R * (p,(p,z),(p,z),O)) * (((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
o2 - (((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
o2 + (- (((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (o2,(- (((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (o2 - (((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(o2 - (((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2))) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) is Element of the carrier of (GF p)
- ((R * (p,(p,z),(p,z),O)) * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) is Element of the carrier of (GF p)
- (R * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- (R * (p,(p,z),(p,z),O))) * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R * (p,(p,z),(p,z),O))),((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) is Element of the carrier of (GF p)
(- (R * (p,(p,z),(p,z),O))) * (Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R * (p,(p,z),(p,z),O))),(Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2))) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
R * ((p,(p,z),(p,z),O) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((p,(p,z),(p,z),O) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (R |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(R |^ 3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (R |^ 3)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (R |^ 3)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (R |^ 3)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (R |^ 3)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
R * ((((p,(p,z),(p,z),O) * (R |^ 3)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((((p,(p,z),(p,z),O) * (R |^ 3)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (R |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(R |^ 3)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (R |^ 3)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),O)) * (R |^ 3)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),O)) * (R |^ 3)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (p,(p,z),(p,z),O)) * (R |^ 3)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- (R * (p,(p,z),(p,z),O))) * (- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R * (p,(p,z),(p,z),O))),(- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- (R * (p,(p,z),(p,z),O))) * ((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R * (p,(p,z),(p,z),O))),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((- (R * (p,(p,z),(p,z),O))) * ((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- (R * (p,(p,z),(p,z),O))) * (P `2_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R * (p,(p,z),(p,z),O))),(P `2_3)) is Element of the carrier of (GF p)
- ((- (R * (p,(p,z),(p,z),O))) * (P `2_3)) is Element of the carrier of (GF p)
- ((R * (p,(p,z),(p,z),O)) * (P `2_3)) is Element of the carrier of (GF p)
- (- ((R * (p,(p,z),(p,z),O)) * (P `2_3))) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
2 mod p is V11() V12() integer ext-real set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
Q |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (Q,2) is set
R |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (R,3) is set
R |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (R,2) is set
F * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (F,(R |^ 2)) is Element of the carrier of (GF p)
R * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (R,o2) is Element of the carrier of (GF p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3) is Element of the carrier of (GF p)
- (R |^ 3) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (R |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (R |^ 3))) is Element of the carrier of (GF p)
(F * (R |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (R |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (R |^ 2)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)) + (- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)),(- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2 is Element of the carrier of (GF p)
- o2 is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- o2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- o2)) is Element of the carrier of (GF p)
Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) + (- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)),(- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
[(R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is V29() set
K23(K23((R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is V29() set
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
P is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
P `1_3 is Element of the carrier of (GF p)
P `1 is set
(P `1) `1 is set
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `1_3)) is Element of the carrier of (GF p)
P `3_3 is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
- ((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) * (Q |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)),(Q |^ 2)) is Element of the carrier of (GF p)
(- ((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) * (Q |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) * (Q |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (Q |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(Q |^ 2)) is Element of the carrier of (GF p)
(P `3_3) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (Q |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (Q |^ 2))) is Element of the carrier of (GF p)
(P `3_3) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(P `3_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(0. (GF p))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (0. (GF p))) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (0. (GF p))),(P `3_3)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(P `3_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(P `3_3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(P `3_3)) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(P `3_3)) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R is Element of the carrier of (GF p)
the addF of (GF p) . ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),R) is Element of the carrier of (GF p)
(P `3_3) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)) is Element of the carrier of (GF p)
(R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R * o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(R * o2)) is Element of the carrier of (GF p)
(R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R * o2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R * o2))) is Element of the carrier of (GF p)
(R |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (R * o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(R * o2)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),R) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * R) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * R),o2) is Element of the carrier of (GF p)
R * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(R |^ 2)) is Element of the carrier of (GF p)
(R * (R |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (R |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (R |^ 2)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),o2) is Element of the carrier of (GF p)
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
R |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . (R,(2 + 1)) is set
(R |^ (2 + 1)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ (2 + 1)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ (2 + 1)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),o2) is Element of the carrier of (GF p)
(P `3_3) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),o2) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((P `3_3) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)),((P `3_3) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((P `3_3) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((P `3_3) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)))) is Element of the carrier of (GF p)
(R |^ 2) * ((P `3_3) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((P `3_3) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + ((R |^ 2) * ((P `3_3) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))),((R |^ 2) * ((P `3_3) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)))) is Element of the carrier of (GF p)
(R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)) is Element of the carrier of (GF p)
(P `3_3) * ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) is Element of the carrier of (GF p)
((P `3_3) * o2) + ((P `3_3) * ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) is Element of the carrier of (GF p)
the addF of (GF p) . (((P `3_3) * o2),((P `3_3) * ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)))) is Element of the carrier of (GF p)
o2 + ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)) is Element of the carrier of (GF p)
the addF of (GF p) . (o2,((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) is Element of the carrier of (GF p)
(P `3_3) * (o2 + ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),(o2 + ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)))) is Element of the carrier of (GF p)
(((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (R |^ (2 + 1)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(R |^ (2 + 1))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (R |^ (2 + 1))) is Element of the carrier of (GF p)
- ((((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (R |^ (2 + 1))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (R |^ (2 + 1)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (R |^ (2 + 1))))) is Element of the carrier of (GF p)
(R |^ 2) * F is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),F) is Element of the carrier of (GF p)
((R |^ 2) * F) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * F),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * F) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * F) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R |^ 2) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),R) is Element of the carrier of (GF p)
((((R |^ 2) * F) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((R |^ 2) * R) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 2) * F) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((R |^ 2) * R)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((((R |^ 2) * F) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((R |^ 2) * R)) is Element of the carrier of (GF p)
- (((((R |^ 2) * F) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((R |^ 2) * R)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((((R |^ 2) * F) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((R |^ 2) * R))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((((R |^ 2) * F) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((R |^ 2) * R)))) is Element of the carrier of (GF p)
((R |^ 2) * F) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * F),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((R |^ 2) * F) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R |^ 2) * R) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * F) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((R |^ 2) * R)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((R |^ 2) * F) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R |^ 2) * R)) is Element of the carrier of (GF p)
- ((((R |^ 2) * F) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R |^ 2) * R)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((((R |^ 2) * F) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R |^ 2) * R))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((((R |^ 2) * F) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R |^ 2) * R)))) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((R |^ 2) * R) is Element of the carrier of (GF p)
the addF of (GF p) . (((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((R |^ 2) * R)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((R |^ 2) * R)) is Element of the carrier of (GF p)
- (((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((R |^ 2) * R)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((R |^ 2) * R))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((R |^ 2) * R)))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)) is Element of the carrier of (GF p)
- ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)))) is Element of the carrier of (GF p)
(- ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) + ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))),((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) + ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((- ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) + ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)))) is Element of the carrier of (GF p)
(P `3_3) * ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) + ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))) + ((R |^ 2) * ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + R))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(0. (GF p))) is Element of the carrier of (GF p)
(P `3_3) * ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (0. (GF p))) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (0. (GF p)))) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
2 mod p is V11() V12() integer ext-real set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
Q |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (Q,2) is set
R |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (R,3) is set
R |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (R,2) is set
F * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (F,(R |^ 2)) is Element of the carrier of (GF p)
R * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (R,o2) is Element of the carrier of (GF p)
(p,z) * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(R |^ 2)) is Element of the carrier of (GF p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3) is Element of the carrier of (GF p)
- (R |^ 3) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (R |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (R |^ 3))) is Element of the carrier of (GF p)
(F * (R |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (R |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (R |^ 2)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)) + (- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)),(- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2 is Element of the carrier of (GF p)
- o2 is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- o2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- o2)) is Element of the carrier of (GF p)
Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) + (- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)),(- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
[(R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is V29() set
K23(K23((R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is V29() set
(p,(p,z),(p,z),O) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),2) is set
((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (R |^ 2)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
R * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
Q * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) + (- (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (p,(p,z),(p,z),O)),(- (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))),2) is set
(((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
P is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
P `3_3 is Element of the carrier of (GF p)
((((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
P `1_3 is Element of the carrier of (GF p)
P `1 is set
(P `1) `1 is set
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(P `1_3)) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) is Element of the carrier of (GF p)
((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(0. (GF p)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(0. (GF p)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((0. (GF p)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((0. (GF p)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
R * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
Q * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) + (- (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (p,(p,z),(p,z),O)),(- (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(0. (GF p)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((0. (GF p)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((0. (GF p)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((0. (GF p)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (R * o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(R * o2)) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (R * o2)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),o2) is Element of the carrier of (GF p)
(((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * o2) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * o2),R) is Element of the carrier of (GF p)
- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * o2) * R) is Element of the carrier of (GF p)
R * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(R |^ 2)) is Element of the carrier of (GF p)
(R * (R |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (R |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (R |^ 2)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),o2) is Element of the carrier of (GF p)
- (((((R * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * o2) is Element of the carrier of (GF p)
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
R |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . (R,(2 + 1)) is set
(R |^ (2 + 1)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ (2 + 1)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ (2 + 1)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),o2) is Element of the carrier of (GF p)
- (((((R |^ (2 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * o2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),o2) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * o2)) is Element of the carrier of (GF p)
- (((R |^ 3) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * o2)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * o2) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * o2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * o2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
- (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
- (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((- (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((- (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),2) is set
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),2) is set
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(0. (GF p)) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((0. (GF p)) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((0. (GF p)) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((0. (GF p)) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))),((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))),(((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))),((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (p,(p,z),(p,z),O)),((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) + (- ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))),(- ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(R * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) - ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) + (- ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))),(- ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) - ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) - ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) + (- ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) - ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))),(- ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((((R * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) - ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) - ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) + (- ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))),(- ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
R * (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (Q * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((R * (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((R * (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((R * (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + (- ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))),(- ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
R * Q is Element of the carrier of (GF p)
the multF of (GF p) . (R,Q) is Element of the carrier of (GF p)
(R * Q) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * Q),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * Q) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * Q),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (p,(p,z),(p,z),O)),(R * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (p,(p,z),(p,z),O)),(Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) + (- ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))),(- ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- (((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) + (- ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))),(- ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) + (- ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))),(- ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)))),((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))))),((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (R * (p,(p,z),(p,z),O))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * (p,(p,z),(p,z),O)) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (p,(p,z),(p,z),O)),R) is Element of the carrier of (GF p)
((Q * (p,(p,z),(p,z),O)) * R) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q * (p,(p,z),(p,z),O)) * R),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((Q * (p,(p,z),(p,z),O)) * R) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((Q * (p,(p,z),(p,z),O)) * R) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((Q * (p,(p,z),(p,z),O)) * R) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((Q * (p,(p,z),(p,z),O)) * R) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((Q * (p,(p,z),(p,z),O)) * R) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((Q * (p,(p,z),(p,z),O)) * R) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((Q * (p,(p,z),(p,z),O)) * R) * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((Q * (p,(p,z),(p,z),O)) * R) * (p,(p,z),(p,z),O)))),((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((Q * (p,(p,z),(p,z),O)) * R) * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((Q * (p,(p,z),(p,z),O)) * R) * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * Q) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * Q),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * Q) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((R * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * Q),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((- ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- (((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * Q),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((R * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((R * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((R * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((R * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
R * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (R * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
- (R * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (R * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (R * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (R * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (R * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))),((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (R * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (R * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
R * (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(R * (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))),((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) + ((Q * (p,(p,z),(p,z),O)) * (Q * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q * (p,(p,z),(p,z),O)) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (p,(p,z),(p,z),O)),Q) is Element of the carrier of (GF p)
((Q * (p,(p,z),(p,z),O)) * Q) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q * (p,(p,z),(p,z),O)) * Q),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) + (((Q * (p,(p,z),(p,z),O)) * Q) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))),(((Q * (p,(p,z),(p,z),O)) * Q) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) + (((Q * (p,(p,z),(p,z),O)) * Q) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) + (((Q * (p,(p,z),(p,z),O)) * Q) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
Q * Q is Element of the carrier of (GF p)
the multF of (GF p) . (Q,Q) is Element of the carrier of (GF p)
(Q * Q) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * Q),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((Q * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q * Q) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) + (((Q * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))),(((Q * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) + (((Q * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) + (((Q * Q) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))),(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O)) + ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O)),((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) + ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))),((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
(R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) + ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))),((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
(R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) + ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))),((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
(R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) + ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))),((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(((R |^ 3) * (p,(p,z),(p,z),O)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * o2))) + (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 3) * (p,(p,z),(p,z),O)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * o2))),(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (- o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- o2)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (- o2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (- o2))) is Element of the carrier of (GF p)
(((R |^ 3) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (- o2))) + (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 3) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (- o2))),(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((R |^ 3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (- o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- o2)) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (- o2)) + (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (- o2)),(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * (- o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)),(- o2)) is Element of the carrier of (GF p)
((((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * (- o2)) + (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * (- o2)),(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- o2)) is Element of the carrier of (GF p)
(((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- o2)) + (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- o2)),(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- o2)) + (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- o2)),(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q |^ 2),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- o2)) + (((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- o2)),(((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (R |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(R |^ 3)) is Element of the carrier of (GF p)
(((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (R |^ 3)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (R |^ 3)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (R |^ 3)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (R |^ 3)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- o2)) + (((((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (R |^ 3)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- o2)),(((((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (R |^ 3)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (Q |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(Q |^ 2)) is Element of the carrier of (GF p)
(((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (Q |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (Q |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (Q |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (Q |^ 2)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- o2)) + (((((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (Q |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- o2)),(((((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (Q |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- o2)) + (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- o2)),(((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- o2) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- o2),(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((- o2) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((- o2) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- (R |^ 3)) + (- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (R |^ 3)),(- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))),(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((- ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((- ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) - (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + (- (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),(- (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) - (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) - (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) - (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) - (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((- (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),((- (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((- (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((- (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),(0. (GF p))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + (0. (GF p))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + (0. (GF p)))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((- (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (R |^ (2 + 1)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(R |^ (2 + 1))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (R |^ (2 + 1))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (R |^ (2 + 1)))) is Element of the carrier of (GF p)
(R |^ 2) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),R) is Element of the carrier of (GF p)
(((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((R |^ 2) * R) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((R |^ 2) * R)) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((R |^ 2) * R)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((R |^ 2) * R))) is Element of the carrier of (GF p)
F * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(F * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R |^ 2) * ((F * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((F * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R |^ 2) * ((F * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((R |^ 2) * R) is Element of the carrier of (GF p)
the addF of (GF p) . (((R |^ 2) * ((F * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((R |^ 2) * R)) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((R |^ 2) * ((F * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((R |^ 2) * R)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((R |^ 2) * ((F * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((R |^ 2) * R))) is Element of the carrier of (GF p)
((F * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + R is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),R) is Element of the carrier of (GF p)
(R |^ 2) * (((F * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + R) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((F * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + R)) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((R |^ 2) * (((F * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + R)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((R |^ 2) * (((F * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + R))) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(0. (GF p))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (0. (GF p))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (0. (GF p))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (0. (GF p))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (0. (GF p))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (0. (GF p))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (0. (GF p))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
R * R is Element of the carrier of (GF p)
the multF of (GF p) . (R,R) is Element of the carrier of (GF p)
(R * R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (0. (GF p))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * R),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (0. (GF p))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((R * R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (0. (GF p))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((R * R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (0. (GF p))) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),2) is set
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),2) is set
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * R is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),R) is Element of the carrier of (GF p)
(((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * R),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
R * (R |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(R |^ 3)) is Element of the carrier of (GF p)
(R * (R |^ 3)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (R |^ 3)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (R |^ 3)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (R |^ 3)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R * (R |^ 3)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (R |^ 3)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R * (R |^ 3)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (R |^ 3)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
3 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
R |^ (3 + 1) is Element of the carrier of (GF p)
(power (GF p)) . (R,(3 + 1)) is set
(R |^ (3 + 1)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ (3 + 1)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ (3 + 1)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
R |^ 4 is Element of the carrier of (GF p)
(power (GF p)) . (R,4) is set
(R |^ 4) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 4),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R |^ 4) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 4) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 4) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
(R |^ 4) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 4),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),2) is set
((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),(2 + 1)) is set
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),3) is set
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),2) is set
(p,(p,z),(p,z),O) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),2) is set
((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)),(- (((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)),(- ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),(2 + 1)) is set
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),3) is set
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
(R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))),(P `3_3)) is Element of the carrier of (GF p)
(R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) * ((R |^ 3) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))),((R |^ 3) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) * ((R |^ 3) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) * ((R |^ 3) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
R * ((R |^ 3) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((R |^ 3) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * ((R |^ 3) * (p,(p,z),(p,z),O))) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * ((R |^ 3) * (p,(p,z),(p,z),O))),(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
((R * ((R |^ 3) * (p,(p,z),(p,z),O))) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * ((R |^ 3) * (p,(p,z),(p,z),O))) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (R |^ 3)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (R |^ 3)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (R |^ 3)) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (R |^ 3)) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
(((R * (R |^ 3)) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (R |^ 3)) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R |^ (3 + 1)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ (3 + 1)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ (3 + 1)) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
(((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + (- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) |^ 2)) + (- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) |^ 2)),(- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) + (- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))),(- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(p,z) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),3) is set
(p,z) * ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))),((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) + (- ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)),(- ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3)) - ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
- ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3)) + (- ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3)),(- ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(p,z) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),3) is set
(p,z) * ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))),((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) + (- ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)),(- ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3)) - ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
- ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3)) + (- ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3)),(- ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) * (P `3_3)) + (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) * (P `3_3)),(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(((R |^ 3) * (p,(p,z),(p,z),O)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * o2))) + (((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) * (P `3_3)) + (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 3) * (p,(p,z),(p,z),O)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * o2))),(((R * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) * (P `3_3)) + (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
(((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)))) + (((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)))),(((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) + ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) + ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) + ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) + (- (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),(- (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) - (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
- (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + (- (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))),(- (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) - (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) - (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (- (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(- (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (- (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (- (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (- (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (- (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (- (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (- (((p,(p,z),(p,z),O) |^ 3) - (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))),(- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
(((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
(((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))))) is Element of the carrier of (GF p)
((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(p,z)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + (- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
- ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + (- ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(- ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
- (((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) + (- (((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(- (((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) - (((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(0. (GF p)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(0. (GF p)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((0. (GF p)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((0. (GF p)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((0. (GF p)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((0. (GF p)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) + (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(p,z)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),(2 + 1)) is set
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ (2 + 1))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)),(p,z)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(p,z)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),(2 + 1)) is set
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ (2 + 1)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ (2 + 1))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ (2 + 1)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ (2 + 1))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)),(p,z)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- (((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- (((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)),(p,z)) is Element of the carrier of (GF p)
(((((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),R) is Element of the carrier of (GF p)
((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 4) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) |^ 2)),(p,z)) is Element of the carrier of (GF p)
(((((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R |^ 4) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),R) is Element of the carrier of (GF p)
((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ (3 + 1)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(p,z)) is Element of the carrier of (GF p)
((((((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * R is Element of the carrier of (GF p)
the multF of (GF p) . (((((((R |^ (3 + 1)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),R) is Element of the carrier of (GF p)
(R |^ 3) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),R) is Element of the carrier of (GF p)
((R |^ 3) * R) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * R),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 3) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 3) * R) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R |^ 3) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 3) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((R |^ 3) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R |^ 3) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((((R |^ 3) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((((((R |^ 3) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(p,z)) is Element of the carrier of (GF p)
(((((((R |^ 3) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((((((((R |^ 3) * R) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),R) is Element of the carrier of (GF p)
R * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((R * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(p,z)) is Element of the carrier of (GF p)
((((R * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * R is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),R) is Element of the carrier of (GF p)
R * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(P `3_3)) is Element of the carrier of (GF p)
(R * (P `3_3)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (P `3_3)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (P `3_3)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (P `3_3)) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((R * (P `3_3)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (P `3_3)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(p,z)) is Element of the carrier of (GF p)
((((R * (P `3_3)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) * R is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (P `3_3)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)),R) is Element of the carrier of (GF p)
(P `3_3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((P `3_3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((P `3_3) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((P `3_3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((((P `3_3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(p,z)) is Element of the carrier of (GF p)
R * ((((P `3_3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((((P `3_3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z))) is Element of the carrier of (GF p)
R * (R * ((((P `3_3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(R * ((((P `3_3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)))) is Element of the carrier of (GF p)
(R * R) * ((((P `3_3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * R),((((P `3_3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z))) is Element of the carrier of (GF p)
(R |^ 2) * ((((P `3_3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((P `3_3) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,z))) is Element of the carrier of (GF p)
(p,z) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(P `3_3)) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (P `3_3))) is Element of the carrier of (GF p)
(R |^ 2) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,z)) is Element of the carrier of (GF p)
((R |^ 2) * (p,z)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,z)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,z)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,z)) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,z)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,z)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(P `3_3)) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
2 mod p is V11() V12() integer ext-real set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
Q |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (Q,2) is set
R |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (R,3) is set
R |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (R,2) is set
F * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (F,(R |^ 2)) is Element of the carrier of (GF p)
R * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (R,o2) is Element of the carrier of (GF p)
(p,z) * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(R |^ 2)) is Element of the carrier of (GF p)
F * Q is Element of the carrier of (GF p)
the multF of (GF p) . (F,Q) is Element of the carrier of (GF p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3) is Element of the carrier of (GF p)
- (R |^ 3) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (R |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (R |^ 3))) is Element of the carrier of (GF p)
(F * (R |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (R |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (R |^ 2)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)) + (- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)),(- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2 is Element of the carrier of (GF p)
- o2 is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- o2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- o2)) is Element of the carrier of (GF p)
Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) + (- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)),(- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
[(R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is V29() set
K23(K23((R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is V29() set
((p,z) * (R |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (R |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,z) * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (R |^ 2)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(F * Q) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
R * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
Q * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) + (- (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (p,(p,z),(p,z),O)),(- (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
P is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
P `3_3 is Element of the carrier of (GF p)
((((p,z) * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,z) * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
P `1_3 is Element of the carrier of (GF p)
P `1 is set
(P `1) `1 is set
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `1_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `1_3)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
(R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) is Element of the carrier of (GF p)
((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * Q) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)),((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) + ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))),((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(0. (GF p)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(0. (GF p)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((0. (GF p)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((0. (GF p)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
R * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
Q * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) + (- (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (p,(p,z),(p,z),O)),(- (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(0. (GF p)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((0. (GF p)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((0. (GF p)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((0. (GF p)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(P `1_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(R * o2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * o2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * o2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * o2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * o2))) is Element of the carrier of (GF p)
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
R |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . (R,(2 + 1)) is set
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(R |^ (2 + 1))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ (2 + 1))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ (2 + 1))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ (2 + 1))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * o2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ (2 + 1))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * o2))) is Element of the carrier of (GF p)
(R |^ 2) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),R) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((R |^ 2) * R) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((R |^ 2) * R)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((R |^ 2) * R)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((R |^ 2) * R)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((R |^ 2) * R)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * o2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((R |^ 2) * R)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * o2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),R) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * R) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * R),o2) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((R |^ 2) * R)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * R) * o2) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((R |^ 2) * R)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * R) * o2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(R |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)),R) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * R) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * R),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),o2) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * R) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * o2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * R) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * o2)) is Element of the carrier of (GF p)
R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2))) is Element of the carrier of (GF p)
(R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),o2) is Element of the carrier of (GF p)
R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2)) is Element of the carrier of (GF p)
((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2)) is Element of the carrier of (GF p)
R * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ (2 + 1)) is Element of the carrier of (GF p)
- (R |^ (2 + 1)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (R |^ (2 + 1))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (R |^ (2 + 1)))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ (2 + 1))) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ (2 + 1))) + (- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ (2 + 1))),(- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R |^ 2) * R) is Element of the carrier of (GF p)
- ((R |^ 2) * R) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((R |^ 2) * R)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((R |^ 2) * R))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R |^ 2) * R)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R |^ 2) * R)) + (- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R |^ 2) * R)),(- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- ((R |^ 2) * R)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(- ((R |^ 2) * R)) + (- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R |^ 2) * R)),(- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- ((R |^ 2) * R)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((- ((R |^ 2) * R)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(F * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (R |^ 2)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- ((R |^ 2) * R)) - ((F * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((F * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- ((R |^ 2) * R)) + (- ((F * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R |^ 2) * R)),(- ((F * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- ((R |^ 2) * R)) - ((F * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((- ((R |^ 2) * R)) - ((F * (R |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- ((R |^ 2) * R)) - ((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- ((R |^ 2) * R)) + (- ((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R |^ 2) * R)),(- ((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- ((R |^ 2) * R)) - ((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((- ((R |^ 2) * R)) - ((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
- (R |^ 2) is Element of the carrier of (GF p)
(- (R |^ 2)) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R |^ 2)),R) is Element of the carrier of (GF p)
((- (R |^ 2)) * R) - ((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((- (R |^ 2)) * R) + (- ((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * R),(- ((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (((- (R |^ 2)) * R) - ((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((- (R |^ 2)) * R) - ((R |^ 2) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(- (R |^ 2)) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R |^ 2)),(F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((- (R |^ 2)) * R) + ((- (R |^ 2)) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * R),((- (R |^ 2)) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (((- (R |^ 2)) * R) + ((- (R |^ 2)) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((- (R |^ 2)) * R) + ((- (R |^ 2)) * (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- (R |^ 2)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R |^ 2)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + ((- (R |^ 2)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((- (R |^ 2)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
- ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))))) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
- ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
(R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2) is Element of the carrier of (GF p)
the addF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 2) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R |^ 2) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2) is Element of the carrier of (GF p)
the addF of (GF p) . (((R |^ 2) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R |^ 2) * ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 2) * ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2) is Element of the carrier of (GF p)
the addF of (GF p) . (((R |^ 2) * ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2) is Element of the carrier of (GF p)
the addF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * o2)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R |^ 2)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),((- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),2) is set
(R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2)) is Element of the carrier of (GF p)
- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2)) is Element of the carrier of (GF p)
(- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),((- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(- (R |^ 2)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R |^ 2)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2)) is Element of the carrier of (GF p)
((- (R |^ 2)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + (((- (R |^ 2)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),(((- (R |^ 2)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((- (R |^ 2)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),((- (R |^ 2)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2))) is Element of the carrier of (GF p)
(((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((- (R |^ 2)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- (R |^ 2)) * (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((- (R |^ 2)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2)) is Element of the carrier of (GF p)
(- (R |^ 2)) * ((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R |^ 2)),((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2))) is Element of the carrier of (GF p)
((- (R |^ 2)) * ((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * ((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) |^ 2))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),2) is set
F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2),((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),2) is set
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(- (R |^ 2)) * ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R |^ 2)),((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((- (R |^ 2)) * ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
(- (R |^ 2)) * ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R |^ 2)),((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
((- (R |^ 2)) * ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2),(F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
(- (R |^ 2)) * ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R |^ 2)),((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
((- (R |^ 2)) * ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2),((F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
(- (R |^ 2)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R |^ 2)),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
((- (R |^ 2)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + ((F * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
(- (R |^ 2)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R |^ 2)),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
((- (R |^ 2)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R |^ 2)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
R * R is Element of the carrier of (GF p)
the multF of (GF p) . (R,R) is Element of the carrier of (GF p)
- (R * R) is Element of the carrier of (GF p)
(- (R * R)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (R * R)),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
((- (R * R)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R * R)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- R is Element of the carrier of (GF p)
(- R) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((- R),R) is Element of the carrier of (GF p)
((- R) * R) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((- R) * R),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
(((- R) * R) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- R) * R) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
(- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- R),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),3) is set
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),3) is set
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
(- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((- R),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 2) * R) * (((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * R),(((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(R |^ (2 + 1)) * (((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ (2 + 1)),(((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(R |^ 3) * (((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),2) is set
((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),3) is set
(p,z) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),2) is set
((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),3) is set
(p,z) * ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))),((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) + (- ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)),(- ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),3) is set
((p,(p,z),(p,z),O) |^ 3) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * (((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),(((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 3) * (((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) + (((p,(p,z),(p,z),O) |^ 3) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 3) * (((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))),(((p,(p,z),(p,z),O) |^ 3) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)) + (((p,(p,z),(p,z),O) |^ 3) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)),(((p,(p,z),(p,z),O) |^ 3) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)) + (((p,(p,z),(p,z),O) |^ 3) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) + (((p,(p,z),(p,z),O) |^ 3) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)) + (((p,(p,z),(p,z),O) |^ 3) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))),(((p,(p,z),(p,z),O) |^ 3) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),3) is set
(p,(p,z),(p,z),O) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),(2 + 1)) is set
(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1)))) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * ((p,(p,z),(p,z),O) |^ 3)),((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1)))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1)))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),2) is set
((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),(((p,z) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),(((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),2) is set
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),(((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,z) * ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((p,z) * ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),((p,z) * ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((p,z) * ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((p,z) * ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,z) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((p,z) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),((p,z) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((p,z) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((p,z) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),(((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) |^ 3) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
(- (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) is Element of the carrier of (GF p)
(- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
(- (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))),((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),2) is set
((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),3) is set
(p,z) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(p,z) * ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))),((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) - ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) + (- ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)),(- ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * ((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),((((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * (((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),(((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 3) * (((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) + (((p,(p,z),(p,z),O) |^ 3) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 3) * (((p,(p,z),(p,z),O) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))),(((p,(p,z),(p,z),O) |^ 3) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)) + (((p,(p,z),(p,z),O) |^ 3) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)),(((p,(p,z),(p,z),O) |^ 3) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)) + (((p,(p,z),(p,z),O) |^ 3) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) + (((p,(p,z),(p,z),O) |^ 3) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)) + (((p,(p,z),(p,z),O) |^ 3) * (((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))),(((p,(p,z),(p,z),O) |^ 3) * ((p,z) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),(2 + 1)) is set
(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1)))) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * ((p,(p,z),(p,z),O) |^ 3)),((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1)))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ (2 + 1)))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
(p,z) * (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) + ((p,z) * (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))),((p,z) * (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),(((p,z) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
(p,z) * (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))) + ((p,z) * (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))))),((p,z) * (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),(((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))) + ((p,z) * (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)))),((p,z) * (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),2) is set
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),(((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)))) + ((p,z) * (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)))),((p,z) * (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),(((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,z) * ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((p,z) * ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),((p,z) * ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((p,z) * ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((p,z) * ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * (p,(p,z),(p,z),O))))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,z) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((p,z) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),((p,z) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((p,z) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((p,z) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),(((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),2) is set
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),2) is set
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) + (- (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)),(- (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) - (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) - ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) + (- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))),(- ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 2)))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) - ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))) + (- ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)))),(- ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ (2 + 1))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ (2 + 1)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ (2 + 1)))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ (2 + 1)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ (2 + 1))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ (2 + 1)))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ (2 + 1)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ (2 + 1)),(((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 2),((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ (2 + 1)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) |^ (2 + 1)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) |^ (2 + 1)) * (((p,(p,z),(p,z),O) |^ 2) * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * (((p,(p,z),(p,z),O) |^ 2) * ((p,(p,z),(p,z),O) |^ 3))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) |^ 3),((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) - (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) + (- (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))),(- (((p,(p,z),(p,z),O) |^ 3) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) |^ 2))))) is Element of the carrier of (GF p)
(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) + ((- (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)),((- (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) + ((- (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) + ((- (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))))) is Element of the carrier of (GF p)
(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) is Element of the carrier of (GF p)
(((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) + (- (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)),(- (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)))) is Element of the carrier of (GF p)
((((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))),((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3)) - (((p,z) * ((p,(p,z),(p,z),O) |^ 3)) * ((p,(p,z),(p,z),O) |^ 3))) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) is Element of the carrier of (GF p)
(0. (GF p)) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((0. (GF p)) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((0. (GF p)) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
(((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),((((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) is Element of the carrier of (GF p)
(((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) is Element of the carrier of (GF p)
((((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + (((((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),(((((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)),(((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) + ((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3),((- (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * R is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)),R) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * R) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)),(((p,z) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) * R)) is Element of the carrier of (GF p)
(p,z) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),R) is Element of the carrier of (GF p)
((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * R),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)),(((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
F * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(F * (p,(p,z),(p,z),O)) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,(p,z),(p,z),O)),Q) is Element of the carrier of (GF p)
((F * (p,(p,z),(p,z),O)) * Q) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (p,(p,z),(p,z),O)) * Q),(P `3_3)) is Element of the carrier of (GF p)
(((F * (p,(p,z),(p,z),O)) * Q) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (p,(p,z),(p,z),O)) * Q) * (P `3_3)),((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
Q * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(P `3_3)) is Element of the carrier of (GF p)
(F * (p,(p,z),(p,z),O)) * (Q * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,(p,z),(p,z),O)),(Q * (P `3_3))) is Element of the carrier of (GF p)
((F * (p,(p,z),(p,z),O)) * (Q * (P `3_3))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (p,(p,z),(p,z),O)) * (Q * (P `3_3))),((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(F * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,(p,z),(p,z),O)),((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * ((F * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),((F * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * (F * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),(F * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) + ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))),((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * (((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) + ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),(((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) + ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (R * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(R * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (R * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (R * (p,(p,z),(p,z),O))) + (- ((p,(p,z),(p,z),O) * (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (R * (p,(p,z),(p,z),O))),(- ((p,(p,z),(p,z),O) * (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (R * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (Q * (p,(p,z),(p,z),O)))) + (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (R * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (Q * (p,(p,z),(p,z),O)))),(((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * ((((p,(p,z),(p,z),O) * (R * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (Q * (p,(p,z),(p,z),O)))) + (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),((((p,(p,z),(p,z),O) * (R * (p,(p,z),(p,z),O))) - ((p,(p,z),(p,z),O) * (Q * (p,(p,z),(p,z),O)))) + (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * ((((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),((((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * (((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),(((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * ((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * ((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((R * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * ((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * ((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * ((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),((((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * (((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),(((R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (R * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
- Q is Element of the carrier of (GF p)
(- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((- Q),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + (- (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
(- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((- Q),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) + ((- Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- Q),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((- Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(Q * (P `3_3)) * ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (P `3_3)),((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
Q * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(Q * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) * ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
Q * ((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q * ((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * ((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
Q * (R |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(R |^ 3)) is Element of the carrier of (GF p)
(Q * (R |^ 3)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (R |^ 3)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((Q * (R |^ 3)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q * (R |^ 3)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + ((- Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(R |^ 3) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),Q) is Element of the carrier of (GF p)
((R |^ 3) * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * Q),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((R |^ 3) * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 3) * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(R |^ 3) * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 3) * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(R |^ 3) * ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
(Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) - ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
- ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + (- ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),(- ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
(R |^ 3) * (((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) - ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (R * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) - ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
(Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),R) is Element of the carrier of (GF p)
((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * R),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
(R |^ 3) * ((((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (Q * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
R * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),Q) is Element of the carrier of (GF p)
((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * Q),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- (((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) + (- (((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(- (((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(R |^ 3) * (((R * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(((R * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) - (((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * Q) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
R * ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
Q * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) - ((Q * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((Q * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + (- ((Q * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),(- ((Q * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(R |^ 3) * ((R * ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) - ((Q * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((R * ((Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) - ((Q * (Q * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
R * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
Q * Q is Element of the carrier of (GF p)
the multF of (GF p) . (Q,Q) is Element of the carrier of (GF p)
(Q * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * Q),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((Q * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) - (((Q * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- (((Q * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) + (- (((Q * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))),(- (((Q * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(R |^ 3) * ((R * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) - (((Q * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((R * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) - (((Q * Q) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q |^ 2),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) - (((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- (((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) + (- (((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))),(- (((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(R |^ 3) * ((R * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) - (((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((R * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) + (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) - (((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
R * (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
(R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))),(R * (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
(- (((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))))) is Element of the carrier of (GF p)
(R |^ 3) * ((- (((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((- (((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(- ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))))) is Element of the carrier of (GF p)
(R |^ 3) * ((- ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((- ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * (((p,z) * R) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
R * ((p,z) * R) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((p,z) * R)) is Element of the carrier of (GF p)
(R * ((p,z) * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * ((p,z) * R)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
(R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((R * ((p,z) * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))),((R * ((p,z) * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((R * ((p,z) * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((R * ((p,z) * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
(R |^ 3) * ((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((R * ((p,z) * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((R * ((p,z) * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))))) is Element of the carrier of (GF p)
(p,z) * (R * R) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(R * R)) is Element of the carrier of (GF p)
((p,z) * (R * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (R * R)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
(R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))),(((p,z) * (R * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
(R |^ 3) * ((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R * R)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (R |^ 2)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
(R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))),(((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
(R |^ 3) * ((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))))) is Element of the carrier of (GF p)
(((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))))) is Element of the carrier of (GF p)
(R |^ 3) * ((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))))) is Element of the carrier of (GF p)
(((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
(R |^ 3) * (((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) + (- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(- ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))),((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
(R |^ 3) * ((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) - ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))))) is Element of the carrier of (GF p)
((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . (((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))),(0. (GF p))) is Element of the carrier of (GF p)
(((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (0. (GF p))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (0. (GF p))),((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
(R |^ 3) * ((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (0. (GF p))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (0. (GF p))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))))) is Element of the carrier of (GF p)
((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))),((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
(R |^ 3) * (((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + ((R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))))) is Element of the carrier of (GF p)
((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))),(R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) is Element of the carrier of (GF p)
(((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))),(((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
(R |^ 3) * ((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((((- R) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) + (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
- (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
(- (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) + (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))),(R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) is Element of the carrier of (GF p)
((- (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) + (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) + (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))),(((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
(R |^ 3) * (((- (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) + (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(((- (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) + (R * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3) - (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 3)))) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
(0. (GF p)) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),(((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
(R |^ 3) * ((0. (GF p)) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((0. (GF p)) + (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)))) is Element of the carrier of (GF p)
(R |^ 3) * (((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(((p,z) * (R |^ 2)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2))) is Element of the carrier of (GF p)
(R |^ 3) * ((p,z) * (R |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),((p,z) * (R |^ 2))) is Element of the carrier of (GF p)
((R |^ 3) * ((p,z) * (R |^ 2))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * ((p,z) * (R |^ 2))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) |^ 2)) is Element of the carrier of (GF p)
((p,z) * (R |^ 2)) * (R |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (R |^ 2)),(R |^ 3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,z) * (R |^ 2)) * (R |^ 3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (R |^ 2)) * (R |^ 3)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 3) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,z) * (R |^ 2)) * ((R |^ 3) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (R |^ 2)),((R |^ 3) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,z) * (R |^ 2)) * (((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (R |^ 2)),(((R |^ 3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,z) * (R |^ 2)) * ((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (R |^ 2)),((((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(P `3_3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,z) * (R |^ 2)) * ((P `3_3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (R |^ 2)),((P `3_3) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(P `3_3)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (R |^ 2)),((p,(p,z),(p,z),O) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
(((p,z) * (R |^ 2)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (R |^ 2)) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
2 mod p is V11() V12() integer ext-real set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
Q |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (Q,2) is set
R |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (R,3) is set
R |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (R,2) is set
F * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (F,(R |^ 2)) is Element of the carrier of (GF p)
R * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (R,o2) is Element of the carrier of (GF p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(Q |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3) is Element of the carrier of (GF p)
- (R |^ 3) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- (R |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- (R |^ 3))) is Element of the carrier of (GF p)
(F * (R |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (R |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (R |^ 2)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)) - (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)) + (- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - (R |^ 3)),(- (((F * (R |^ 2)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2 is Element of the carrier of (GF p)
- o2 is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) + (- o2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(- o2)) is Element of the carrier of (GF p)
Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) + (- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)),(- (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
[(R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))) is V29() set
K23(K23((R * o2),((Q * ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) - o2)) - (((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)))),(((R |^ 3) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O))) is V29() set
(p,(p,z),(p,z),O) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),O),2) is set
(R |^ 2) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
P is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
P `2_3 is Element of the carrier of (GF p)
P `1 is set
(P `1) `2 is set
(P `2_3) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((P `2_3),2) is set
P `3_3 is Element of the carrier of (GF p)
((P `2_3) |^ 2) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((P `2_3) |^ 2),(P `3_3)) is Element of the carrier of (GF p)
P `1_3 is Element of the carrier of (GF p)
(P `1) `1 is set
(P `1_3) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((P `1_3),3) is set
(p,z) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(P `1_3)) is Element of the carrier of (GF p)
(P `3_3) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((P `3_3),2) is set
((p,z) * (P `1_3)) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (P `1_3)),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((P `1_3) |^ 3),(((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
(P `3_3) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((P `3_3),3) is set
(p,z) * ((P `3_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((P `3_3) |^ 3)) is Element of the carrier of (GF p)
(((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((p,z) * ((P `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))),((p,z) * ((P `3_3) |^ 3))) is Element of the carrier of (GF p)
(((P `2_3) |^ 2) * (P `3_3)) - ((((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((p,z) * ((P `3_3) |^ 3))) is Element of the carrier of (GF p)
- ((((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((p,z) * ((P `3_3) |^ 3))) is Element of the carrier of (GF p)
(((P `2_3) |^ 2) * (P `3_3)) + (- ((((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((p,z) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((P `2_3) |^ 2) * (P `3_3)),(- ((((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((p,z) * ((P `3_3) |^ 3))))) is Element of the carrier of (GF p)
(((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((((P `2_3) |^ 2) * (P `3_3)) - ((((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((p,z) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),((((P `2_3) |^ 2) * (P `3_3)) - ((((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((p,z) * ((P `3_3) |^ 3))))) is Element of the carrier of (GF p)
(((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),(((P `2_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
(((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `2_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),((P `2_3) |^ 2)) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `2_3) |^ 2)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `2_3) |^ 2)),(P `3_3)) is Element of the carrier of (GF p)
((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `2_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)),((P `2_3) |^ 2)) is Element of the carrier of (GF p)
(((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `2_3) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `2_3) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `2_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `2_3) |^ 2)) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
R * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (P `2_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(P `2_3)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (P `2_3)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((R * (p,(p,z),(p,z),O)) * (P `2_3)),2) is set
(((R * (p,(p,z),(p,z),O)) * (P `2_3)) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (p,(p,z),(p,z),O)) * (P `2_3)) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R * (p,(p,z),(p,z),O)) * (P `2_3)) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (p,(p,z),(p,z),O)) * (P `2_3)) |^ 2) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(P `1_3) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `1_3),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(P `3_3)) is Element of the carrier of (GF p)
((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
((P `1_3) * (p,(p,z),(p,z),O)) + (- ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((P `1_3) * (p,(p,z),(p,z),O)),(- ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
R * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))),((R * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
- ((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(- ((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3)))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((- ((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3)))),2) is set
((- ((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3)))) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((- ((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3)))) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((- ((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3)))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((- ((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3)))) |^ 2) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))),2) is set
(((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((Q * (((P `1_3) * (p,(p,z),(p,z),O)) - ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
Q * ((P `1_3) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((P `1_3) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
Q * ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
(Q * ((P `1_3) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
- (Q * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
(Q * ((P `1_3) * (p,(p,z),(p,z),O))) + (- (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * ((P `1_3) * (p,(p,z),(p,z),O))),(- (Q * ((p,(p,z),(p,z),O) * (P `3_3))))) is Element of the carrier of (GF p)
((Q * ((P `1_3) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((Q * ((P `1_3) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))),((R * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(((Q * ((P `1_3) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((Q * ((P `1_3) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))),2) is set
((((Q * ((P `1_3) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((Q * ((P `1_3) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((Q * ((P `1_3) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((Q * ((P `1_3) * (p,(p,z),(p,z),O))) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
Q * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * (p,(p,z),(p,z),O)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (p,(p,z),(p,z),O)),(P `1_3)) is Element of the carrier of (GF p)
((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - (Q * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (- (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((Q * (p,(p,z),(p,z),O)) * (P `1_3)),(- (Q * ((p,(p,z),(p,z),O) * (P `3_3))))) is Element of the carrier of (GF p)
(((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))),((R * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))),2) is set
(((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - (Q * ((p,(p,z),(p,z),O) * (P `3_3)))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
Q * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
- ((Q * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (- ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((Q * (p,(p,z),(p,z),O)) * (P `1_3)),(- ((Q * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
(((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))),((R * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))),2) is set
(((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + ((R * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((Q * (p,(p,z),(p,z),O)) * (P `1_3)),((R * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
(((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) + (- ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))),(- ((Q * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))),2) is set
(((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + ((R * (p,(p,z),(p,z),O)) * (P `3_3))) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (P `3_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) * (P `3_3)) + (- ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (p,(p,z),(p,z),O)) * (P `3_3)),(- ((Q * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) * (P `3_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((Q * (p,(p,z),(p,z),O)) * (P `1_3)),(((R * (p,(p,z),(p,z),O)) * (P `3_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
(((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) * (P `3_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3)))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) * (P `3_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3)))),2) is set
((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) * (P `3_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3)))) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) * (P `3_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3)))) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) * (P `3_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3)))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) * (P `3_3)) - ((Q * (p,(p,z),(p,z),O)) * (P `3_3)))) |^ 2) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),O)) + (- (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * (p,(p,z),(p,z),O)),(- (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))),(P `3_3)) is Element of the carrier of (GF p)
((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((Q * (p,(p,z),(p,z),O)) * (P `1_3)),(((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (P `3_3))) is Element of the carrier of (GF p)
(((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (P `3_3))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (P `3_3))),2) is set
((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (P `3_3))) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((Q * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (P `3_3))) |^ 2) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(Q * (p,(p,z),(p,z),O)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((Q * (p,(p,z),(p,z),O)),2) is set
(P `1_3) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((P `1_3),2) is set
((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q * (p,(p,z),(p,z),O)) |^ 2),((P `1_3) |^ 2)) is Element of the carrier of (GF p)
F * (Q * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (Q * (p,(p,z),(p,z),O))),((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))),(P `1_3)) is Element of the carrier of (GF p)
(((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
(((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) + ((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)),((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))),2) is set
(((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) + ((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3))) + ((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) + ((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3))),((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) + ((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3))) + ((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) + ((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3))) + ((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) + ((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3))) + ((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2))) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) + ((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3))) + ((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2))) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(P `3_3)) is Element of the carrier of (GF p)
(((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) + ((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3))) + ((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2))) * ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) + ((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3))) + ((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2))),((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
(((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)),((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)),((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) + (((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))),(((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)),((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
(((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) + (((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q * (p,(p,z),(p,z),O)) |^ 2) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) + (((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
(Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q |^ 2),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)),((P `1_3) |^ 2)) is Element of the carrier of (GF p)
(((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)),((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) + (((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))),(((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) + (((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) + (((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
(((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),(((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * (Q * (p,(p,z),(p,z),O))) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
F * Q is Element of the carrier of (GF p)
the multF of (GF p) . (F,Q) is Element of the carrier of (GF p)
(F * Q) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((F * Q) * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * Q) * (p,(p,z),(p,z),O)),((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((F * Q) * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * Q) * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))),(P `1_3)) is Element of the carrier of (GF p)
((((F * Q) * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * Q) * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
(((((F * Q) * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((F * Q) * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)),((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((F * Q) * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),((((((F * Q) * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((F * Q) * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((F * Q) * (p,(p,z),(p,z),O)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))),(P `1_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)),((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
(F * Q) * (((((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),(((((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((F * Q) * (((((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),((F * Q) * (((((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3))))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((F * Q) * (((((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3))))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((F * Q) * (((((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * (P `3_3))))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (P `3_3)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (P `3_3)),(P `1_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (P `3_3)) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (P `3_3)) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (P `3_3)) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) * (P `3_3)) * (P `1_3)) * (P `3_3)),((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(F * Q) * (((((p,(p,z),(p,z),O) * (P `3_3)) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),(((((p,(p,z),(p,z),O) * (P `3_3)) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((F * Q) * (((((p,(p,z),(p,z),O) * (P `3_3)) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),((F * Q) * (((((p,(p,z),(p,z),O) * (P `3_3)) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((F * Q) * (((((p,(p,z),(p,z),O) * (P `3_3)) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((F * Q) * (((((p,(p,z),(p,z),O) * (P `3_3)) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
(F * Q) * ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
((F * Q) * ((p,(p,z),(p,z),O) * (P `3_3))) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * Q) * ((p,(p,z),(p,z),O) * (P `3_3))),(P `1_3)) is Element of the carrier of (GF p)
(((F * Q) * ((p,(p,z),(p,z),O) * (P `3_3))) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * Q) * ((p,(p,z),(p,z),O) * (P `3_3))) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
((((F * Q) * ((p,(p,z),(p,z),O) * (P `3_3))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * Q) * ((p,(p,z),(p,z),O) * (P `3_3))) * (P `1_3)) * (P `3_3)),((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * ((p,(p,z),(p,z),O) * (P `3_3))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),(((((F * Q) * ((p,(p,z),(p,z),O) * (P `3_3))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * ((p,(p,z),(p,z),O) * (P `3_3))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * ((p,(p,z),(p,z),O) * (P `3_3))) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
(F * Q) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * Q) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)),(P `1_3)) is Element of the carrier of (GF p)
((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
(((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (P `1_3)) * (P `3_3)),((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (P `1_3)) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
(P `1_3) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `1_3),(P `3_3)) is Element of the carrier of (GF p)
((P `1_3) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((P `1_3) * (P `3_3)),((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)),(((P `1_3) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) * (P `3_3)) * ((p,(p,z),(p,z),O) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((P `1_3) * (P `3_3)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))),(((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)),(((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O))))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) * (((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O))))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
(((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)),((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))),(((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),(((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O)))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `3_3)) * (p,(p,z),(p,z),O)))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((P `1_3) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))),(((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),(((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * ((P `3_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 2)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 2)),(P `3_3)) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 2)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 2)) * (P `3_3))) is Element of the carrier of (GF p)
((P `3_3) |^ 2) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((P `3_3) |^ 2),(P `3_3)) is Element of the carrier of (GF p)
((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (((P `3_3) |^ 2) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)),(((P `3_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (((P `3_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (((P `3_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(P `3_3) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((P `3_3),(2 + 1)) is set
((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)),((P `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ (2 + 1)))) is Element of the carrier of (GF p)
(((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),(((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(R |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)),(((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
- ((((R |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
(R |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
(P `3_3) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),(P `3_3)) is Element of the carrier of (GF p)
((p,z) * (P `1_3)) * ((P `3_3) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (P `1_3)),((P `3_3) * (P `3_3))) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((p,z) * (P `1_3)) * ((P `3_3) * (P `3_3)))) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) * (P `3_3)))) is Element of the carrier of (GF p)
((p,z) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
(((p,z) * (P `1_3)) * (P `3_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (P `1_3)) * (P `3_3)),(P `3_3)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((p,z) * (P `1_3)) * (P `3_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((((p,z) * (P `1_3)) * (P `3_3)) * (P `3_3))) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((p,z) * (P `1_3)) * (P `3_3)) * (P `3_3))) is Element of the carrier of (GF p)
(p,z) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(P `3_3)) is Element of the carrier of (GF p)
((p,z) * (P `3_3)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (P `3_3)),(P `1_3)) is Element of the carrier of (GF p)
(((p,z) * (P `3_3)) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (P `3_3)) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((p,z) * (P `3_3)) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((((p,z) * (P `3_3)) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((p,z) * (P `3_3)) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((((p,z) * (P `3_3)) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((((p,z) * (P `3_3)) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * ((((p,z) * (P `3_3)) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * ((((p,z) * (P `3_3)) * (P `1_3)) * (P `3_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * ((((p,z) * (P `3_3)) * (P `1_3)) * (P `3_3)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((p,z) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((p,z) * (P `3_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((p,z) * (P `3_3))) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((p,z) * (P `3_3))),(P `1_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((p,z) * (P `3_3))) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((p,z) * (P `3_3))) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,z) * (P `3_3))) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((p,z) * (P `3_3))) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((p,z) * (P `3_3))) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(P `1_3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
((p,z) * (P `3_3)) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (P `3_3)),(((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `3_3)) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((p,z) * (P `3_3)) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `3_3)) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,z) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((p,z) * (P `3_3))) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,z) * (P `3_3))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,z) * (P `3_3))),(((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((p,z) * (P `3_3))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,z)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,z)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,z)),(P `3_3)) is Element of the carrier of (GF p)
(((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,z)) * (P `3_3)) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,z)) * (P `3_3)),(((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,z)) * (P `3_3)) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(p,z)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,z)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,z)),(P `3_3)) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,z)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,z)) * (P `3_3))) is Element of the carrier of (GF p)
((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,z)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,z)) * (P `3_3))),(((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
- (((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (p,z)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
(p,z) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,z) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,z) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,z) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((R |^ 2) * ((((p,z) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * ((((p,z) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))),(((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
- (((R |^ 2) * ((((p,z) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
(R |^ 2) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,z)) is Element of the carrier of (GF p)
((R |^ 2) * (p,z)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,z)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,z)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(((((R |^ 2) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R |^ 2) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)),(((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
- ((((((R |^ 2) * (p,z)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `1_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `1_3)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
(R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) is Element of the carrier of (GF p)
((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) + ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))),((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) + ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) + ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))),(((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) + ((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))),(((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))),(((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
(((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))),(((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))) is Element of the carrier of (GF p)
((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))),(((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
(((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))),(((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)))) is Element of the carrier of (GF p)
(R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))),(((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))) is Element of the carrier of (GF p)
- (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))))) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))),(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(P `1_3)) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3))) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))),(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)))))) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(P `1_3)) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))),((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3))))) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(P `1_3)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(P `1_3)) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))),((((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3))))) is Element of the carrier of (GF p)
((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((P `1_3) * (P `3_3)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))),(P `1_3)) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))),((((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) * (P `1_3))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) * (P `1_3))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) * (P `1_3))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) * (P `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))))) * (P `1_3))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) * (P `3_3))) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) * (P `3_3))),(P `1_3)) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) * (P `3_3))) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))),((((R |^ 2) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) * (P `3_3))) * (P `1_3))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) * (P `3_3))) * (P `1_3))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) * (P `3_3))) * (P `1_3))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) * (P `3_3))) * (P `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `1_3)) * (P `3_3))) * (P `1_3))))) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(P `1_3)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
(((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)),(P `1_3)) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))),((((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * (P `1_3))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * (P `1_3))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * (P `1_3))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * (P `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `1_3)) * (P `3_3)) * (P `1_3))))) is Element of the carrier of (GF p)
((P `1_3) * (P `3_3)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((P `1_3) * (P `3_3)),(P `1_3)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `3_3)) * (P `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((P `1_3) * (P `3_3)) * (P `1_3))) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `3_3)) * (P `1_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))),((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `3_3)) * (P `1_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `3_3)) * (P `1_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `3_3)) * (P `1_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `3_3)) * (P `1_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `3_3)) * (P `1_3)))))) is Element of the carrier of (GF p)
(P `1_3) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `1_3),(P `1_3)) is Element of the carrier of (GF p)
((P `1_3) * (P `1_3)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((P `1_3) * (P `1_3)),(P `3_3)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `1_3)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((P `1_3) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `1_3)) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))),((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `1_3)) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `1_3)) * (P `3_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `1_3)) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `1_3)) * (P `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) * (P `1_3)) * (P `3_3)))))) is Element of the carrier of (GF p)
((P `1_3) |^ 2) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((P `1_3) |^ 2),(P `3_3)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))),((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (P `1_3)) * (P `3_3))) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))))) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))),((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (P `1_3)) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))))) is Element of the carrier of (GF p)
((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((P `1_3) * (P `3_3)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))),((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((P `1_3) * (P `3_3)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))))) is Element of the carrier of (GF p)
(P `3_3) * ((P `1_3) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),((P `1_3) * (P `3_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `3_3) * ((P `1_3) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((P `3_3) * ((P `1_3) * (P `3_3)))) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `3_3) * ((P `1_3) * (P `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `3_3) * ((P `1_3) * (P `3_3))))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `3_3) * ((P `1_3) * (P `3_3))))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `3_3) * ((P `1_3) * (P `3_3))))),((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `3_3) * ((P `1_3) * (P `3_3))))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `3_3) * ((P `1_3) * (P `3_3))))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `3_3) * ((P `1_3) * (P `3_3))))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `3_3) * ((P `1_3) * (P `3_3))))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))))) is Element of the carrier of (GF p)
(P `1_3) * ((P `3_3) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `1_3),((P `3_3) * (P `3_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((P `1_3) * ((P `3_3) * (P `3_3)))) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) * (P `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) * (P `3_3))))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) * (P `3_3))))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) * (P `3_3))))),((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) * (P `3_3))))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) * (P `3_3))))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) * (P `3_3))))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) * (P `3_3))))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))))) is Element of the carrier of (GF p)
(P `1_3) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `1_3),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),((P `1_3) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) |^ 2)))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) |^ 2)))),((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) |^ 2)))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) |^ 2)))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) |^ 2)))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * ((P `1_3) * ((P `3_3) |^ 2)))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `1_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((R |^ 2) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((R |^ 2) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((R |^ 2) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))))) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(P `1_3)) is Element of the carrier of (GF p)
(((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)),((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - (((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
- (((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- (((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- (((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) + ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)))) is Element of the carrier of (GF p)
((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + (- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),(- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (((P `1_3) |^ 2) * (P `3_3))))) is Element of the carrier of (GF p)
(R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O)) * (((P `1_3) |^ 2) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O)),(((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O)) * (((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O)) * (((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O)) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (p,(p,z),(p,z),O)) * (((P `1_3) |^ 2) * (P `3_3))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (((P `1_3) |^ 2) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * ((p,(p,z),(p,z),O) * (((P `1_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((p,(p,z),(p,z),O) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * ((p,(p,z),(p,z),O) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * ((p,(p,z),(p,z),O) * (((P `1_3) |^ 2) * (P `3_3)))) is Element of the carrier of (GF p)
((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + (- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * ((p,(p,z),(p,z),O) * (((P `1_3) |^ 2) * (P `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),(- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * ((p,(p,z),(p,z),O) * (((P `1_3) |^ 2) * (P `3_3)))))) is Element of the carrier of (GF p)
((P `1_3) |^ 2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((P `1_3) |^ 2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(P `3_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * ((P `3_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),((P `3_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * ((P `3_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * ((P `3_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + (- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * ((P `3_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),(- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * ((P `3_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))),(P `3_3)) is Element of the carrier of (GF p)
(((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),((p,z) * ((P `3_3) |^ 3))) is Element of the carrier of (GF p)
- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))) is Element of the carrier of (GF p)
(((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),(p,z)) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,z)) * ((P `3_3) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,z)),((P `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
- (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,z)) * ((P `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,z)) * (((P `3_3) |^ 2) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,z)),(((P `3_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
- (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (p,z)) * (((P `3_3) |^ 2) * (P `3_3))) is Element of the carrier of (GF p)
(p,z) * (((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,z) * (((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))),(P `3_3)) is Element of the carrier of (GF p)
(((p,z) * (((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) * (P `3_3)) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) * (P `3_3)),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
- ((((p,z) * (((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O))) * (P `3_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
(p,z) * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(R |^ 2)) is Element of the carrier of (GF p)
((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (R |^ 2)),((p,(p,z),(p,z),O) |^ 2)) is Element of the carrier of (GF p)
(((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(((((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
- ((((((p,z) * (R |^ 2)) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) is Element of the carrier of (GF p)
((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))),(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
- (((- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
- ((- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(- ((- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3)))) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((- ((- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3)))),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
(- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))),(((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
((- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
(- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
((- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))) * ((P `3_3) |^ 2)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3))) * ((P `3_3) |^ 2)),((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3)),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
- ((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
(- ((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((P `3_3) |^ 2))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((P `3_3) |^ 2))),((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
(P `3_3) * ((P `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `3_3),((P `3_3) |^ 2)) is Element of the carrier of (GF p)
((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)),((P `3_3) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
(- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) * ((P `3_3) |^ 2)))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) * ((P `3_3) |^ 2)))),((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
(- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ (2 + 1)))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ (2 + 1)))),((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) + (- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))),(- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))))) is Element of the carrier of (GF p)
((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)),((P `3_3) |^ 3)) is Element of the carrier of (GF p)
- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)) is Element of the carrier of (GF p)
(- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3))),((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)) + ((- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)),((- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)) + ((- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)) + ((- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))))) is Element of the carrier of (GF p)
(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)) - (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)) is Element of the carrier of (GF p)
(((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)) + (- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)),(- (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)) - (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)) - (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3))),((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + (((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)) - (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),(((((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3)) - (((((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O))) |^ 2) * (p,(p,z),(p,z),O)) * ((P `3_3) |^ 3))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)))) is Element of the carrier of (GF p)
(0. (GF p)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((0. (GF p)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),((0. (GF p)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),(((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
(((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))) + (- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))),(- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))))) is Element of the carrier of (GF p)
(((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))),(((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))),((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) + ((- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))))) is Element of the carrier of (GF p)
(((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) - (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) + (- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))),(- (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))))) is Element of the carrier of (GF p)
((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) - (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) - (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))),((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + (((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) - (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),(((((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3))) - (((((F * Q) * (p,(p,z),(p,z),O)) * (P `3_3)) * ((R * (p,(p,z),(p,z),O)) - (Q * (p,(p,z),(p,z),O)))) * (((P `1_3) * (p,(p,z),(p,z),O)) * (P `3_3)))) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(0. (GF p)) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + ((0. (GF p)) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),((0. (GF p)) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)),((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),(((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) + ((- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) is Element of the carrier of (GF p)
((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) + (- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)),(- ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),((((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2)) - ((((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * ((P `3_3) |^ 2))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(0. (GF p)) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(0. (GF p)) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + ((0. (GF p)) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),((0. (GF p)) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q |^ 2),((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((P `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),((P `1_3) |^ 2)) is Element of the carrier of (GF p)
(((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((P `1_3) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * (p,(p,z),(p,z),O)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((P `1_3) |^ 2)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * ((P `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),((P `1_3) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
((Q |^ 2) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * (p,(p,z),(p,z),O)),((((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * ((((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * (p,(p,z),(p,z),O)) * (P `3_3))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)),((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
((Q |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * (p,(p,z),(p,z),O)),(((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (((p,(p,z),(p,z),O) * ((P `1_3) |^ 2)) * ((p,(p,z),(p,z),O) * (P `3_3)))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((Q |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * (p,(p,z),(p,z),O)),((p,(p,z),(p,z),O) * (P `3_3))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (P `3_3))) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (P `3_3))),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (P `3_3))) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (P `3_3))) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * ((p,(p,z),(p,z),O) * (P `3_3))) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) + (- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))),(- ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((p,z) * ((P `3_3) |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),((((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((p,z) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((p,z) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((p,z) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) + (- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((p,z) * ((P `3_3) |^ 3))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))),(- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((((P `1_3) |^ 3) + (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((p,z) * ((P `3_3) |^ 3)))))) is Element of the carrier of (GF p)
(((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)),((P `1_3) |^ 3)) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)),((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)))),((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - ((((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
- ((((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) + (- ((((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))),(- ((((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))))) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))),((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) + (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)),(((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))))) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) + (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))))) is Element of the carrier of (GF p)
- (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) + (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))))) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) + (- (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) + (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))),(- (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) + (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))))))) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
- (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))) is Element of the carrier of (GF p)
((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) + (- (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))),(- (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))))) is Element of the carrier of (GF p)
(((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) is Element of the carrier of (GF p)
- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) is Element of the carrier of (GF p)
(((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))))) + (- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - (((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2))) + ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3))))),(- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)))) is Element of the carrier of (GF p)
((((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) is Element of the carrier of (GF p)
((((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)))) + (- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((P `2_3) |^ 2) * (P `3_3))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((p,z) * ((P `3_3) |^ 3)))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * (((p,z) * (P `1_3)) * ((P `3_3) |^ 2)))),(- ((((R |^ 2) * ((p,(p,z),(p,z),O) |^ 2)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)))) is Element of the carrier of (GF p)
(((R |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)),((P `1_3) |^ 3)) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) - ((((R |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) is Element of the carrier of (GF p)
- ((((R |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) + (- ((((R |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))),(- ((((R |^ 2) * ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)))) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((P `1_3) |^ 3)) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) - (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) + (- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))),(- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)))) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((P `1_3) |^ 3)) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) - (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) + (- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))),(- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ 3)))) is Element of the carrier of (GF p)
(P `1_3) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((P `1_3),(2 + 1)) is set
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((P `1_3) |^ (2 + 1))) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ (2 + 1))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ (2 + 1))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) - (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ (2 + 1))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ (2 + 1))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) + (- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ (2 + 1))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))),(- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) |^ (2 + 1))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((P `1_3) |^ 2) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((P `1_3) |^ 2),(P `1_3)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((P `1_3) |^ 2) * (P `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(((P `1_3) |^ 2) * (P `1_3))) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((P `1_3) |^ 2) * (P `1_3))) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((P `1_3) |^ 2) * (P `1_3))),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) - (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((P `1_3) |^ 2) * (P `1_3))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((P `1_3) |^ 2) * (P `1_3))) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) + (- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((P `1_3) |^ 2) * (P `1_3))) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))),(- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (((P `1_3) |^ 2) * (P `1_3))) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(((P `1_3) |^ 2) * (P `1_3)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((P `1_3) |^ 2) * (P `1_3)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((P `1_3) |^ 2) * (P `1_3)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((((P `1_3) |^ 2) * (P `1_3)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) - ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((P `1_3) |^ 2) * (P `1_3)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((P `1_3) |^ 2) * (P `1_3)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) + (- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((P `1_3) |^ 2) * (P `1_3)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))),(- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((((P `1_3) |^ 2) * (P `1_3)) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
(P `1_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((P `1_3),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),((P `1_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) - ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) + (- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))),(- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * ((P `1_3) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))))) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)),(P `1_3)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) - (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) + (- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) - ((((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)))),(- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O))))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) is Element of the carrier of (GF p)
- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)),(- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)))) is Element of the carrier of (GF p)
(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))) - ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) is Element of the carrier of (GF p)
- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) is Element of the carrier of (GF p)
(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))) + (- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))),(- ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)))) is Element of the carrier of (GF p)
((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))) - ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))) - ((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3))),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)),(((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))) is Element of the carrier of (GF p)
- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)),(- (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))))) is Element of the carrier of (GF p)
(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)))) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((((R |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)))),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `1_3)) is Element of the carrier of (GF p)
(R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))),(((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))) is Element of the carrier of (GF p)
- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)),(- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3))))) is Element of the carrier of (GF p)
(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)))) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)))) * (P `3_3)))),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))),(P `3_3)) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3))) is Element of the carrier of (GF p)
((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))),((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3)))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3)))) is Element of the carrier of (GF p)
- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3)))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)),(- (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3)))))) is Element of the carrier of (GF p)
(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3))))) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - (((R |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3))) + ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3))))),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3))) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3)))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3)))) is Element of the carrier of (GF p)
- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3)))) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) + (- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)),(- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3)))))) is Element of the carrier of (GF p)
(((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3))))) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) - ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) + ((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O))) * (P `3_3))))),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
(R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))))) is Element of the carrier of (GF p)
- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))))) is Element of the carrier of (GF p)
(- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))))) + ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))))),((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))))) + ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((- ((R |^ 2) * ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))))) + ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
- ((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
(- ((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))))) + ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))))),((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
((- ((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))))) + ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((- ((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))))) + ((((Q |^ 2) * (p,(p,z),(p,z),O)) * (p,(p,z),(p,z),O)) * (P `3_3))),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)),(P `3_3)) is Element of the carrier of (GF p)
(Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q |^ 2),(((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
(- ((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))))) + ((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))))),((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) is Element of the carrier of (GF p)
((- ((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))))) + ((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((- ((R |^ 2) * (((((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `1_3)) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))) + (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3))))) + ((Q |^ 2) * (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),O)) * (P `3_3)))),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
(0. (GF p)) * (((P `1_3) |^ 2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((0. (GF p)),(((P `1_3) |^ 2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
8 is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real positive Element of NAT
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
2 mod p is V11() V12() integer ext-real set
3 mod p is V11() V12() integer ext-real set
4 mod p is V11() V12() integer ext-real set
8 mod p is V11() V12() integer ext-real set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
O is Element of the carrier of (GF p)
O is Element of the carrier of (GF p)
P is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
O |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (O,2) is set
o2 * P is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (o2,P) is Element of the carrier of (GF p)
(O |^ 2) - (o2 * P) is Element of the carrier of (GF p)
- (o2 * P) is Element of the carrier of (GF p)
(O |^ 2) + (- (o2 * P)) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . ((O |^ 2),(- (o2 * P))) is Element of the carrier of (GF p)
F * Q is Element of the carrier of (GF p)
the multF of (GF p) . (F,Q) is Element of the carrier of (GF p)
(F * Q) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),O) is Element of the carrier of (GF p)
R * P is Element of the carrier of (GF p)
the multF of (GF p) . (R,P) is Element of the carrier of (GF p)
(R * P) - Q is Element of the carrier of (GF p)
- Q is Element of the carrier of (GF p)
(R * P) + (- Q) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * P),(- Q)) is Element of the carrier of (GF p)
O * ((R * P) - Q) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((R * P) - Q)) is Element of the carrier of (GF p)
O |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (O,2) is set
O |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (O,3) is set
o2 * (O |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(O |^ 3)) is Element of the carrier of (GF p)
F * O is Element of the carrier of (GF p)
the multF of (GF p) . (F,O) is Element of the carrier of (GF p)
g2 is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
(p,z) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
Q * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) + (Q * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),g2) |^ 2)),(Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
o2 * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * ((p,(p,z),(p,z),g2) |^ 2)),(O |^ 2)) is Element of the carrier of (GF p)
(O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
(O * ((R * P) - Q)) + (- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * ((R * P) - Q)),(- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is Element of the carrier of (GF p)
[((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))),(o2 * (O |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is V29() set
K23(K23(((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))),(o2 * (O |^ 3))) is V29() set
(F * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(F * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
g3 is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
g3 `2_3 is Element of the carrier of (GF p)
g3 `1 is set
(g3 `1) `2 is set
((F * O) * (p,(p,z),(p,z),g2)) * (g3 `2_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(g3 `2_3)) is Element of the carrier of (GF p)
g3 `1_3 is Element of the carrier of (GF p)
(g3 `1) `1 is set
(p,(p,z),(p,z),g2) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(g3 `1_3)) is Element of the carrier of (GF p)
g3 `3_3 is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(g3 `3_3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) + (- ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (g3 `1_3)),(- ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(g3 `3_3)) is Element of the carrier of (GF p)
(O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))),(((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
2 * 4 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(2 * 4) mod p is V11() V12() integer ext-real set
F * R is Element of the carrier of (GF p)
the multF of (GF p) . (F,R) is Element of the carrier of (GF p)
F * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (F,o2) is Element of the carrier of (GF p)
o2 + (F * o2) is Element of the carrier of (GF p)
the addF of (GF p) . (o2,(F * o2)) is Element of the carrier of (GF p)
R + o2 is Element of the carrier of (GF p)
the addF of (GF p) . (R,o2) is Element of the carrier of (GF p)
F * (R + o2) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(R + o2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * P is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),P) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),O) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * O) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * O),O) is Element of the carrier of (GF p)
O * O is Element of the carrier of (GF p)
the multF of (GF p) . (O,O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (O * O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O * O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),O) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * O) * P is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * O),P) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * P) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * P),O) is Element of the carrier of (GF p)
(O |^ 2) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((O |^ 2) * O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((O |^ 2) * O)) is Element of the carrier of (GF p)
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
O |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . (O,(2 + 1)) is set
(p,(p,z),(p,z),g2) * (O |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O |^ (2 + 1))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (O |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O |^ 3)) is Element of the carrier of (GF p)
(o2 * P) - (O |^ 2) is Element of the carrier of (GF p)
- (O |^ 2) is Element of the carrier of (GF p)
(o2 * P) + (- (O |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((o2 * P),(- (O |^ 2))) is Element of the carrier of (GF p)
(R * P) + ((o2 * P) - (O |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * P),((o2 * P) - (O |^ 2))) is Element of the carrier of (GF p)
(R * P) + (o2 * P) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * P),(o2 * P)) is Element of the carrier of (GF p)
((R * P) + (o2 * P)) - (O |^ 2) is Element of the carrier of (GF p)
((R * P) + (o2 * P)) + (- (O |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * P) + (o2 * P)),(- (O |^ 2))) is Element of the carrier of (GF p)
(R + o2) * P is Element of the carrier of (GF p)
the multF of (GF p) . ((R + o2),P) is Element of the carrier of (GF p)
((R + o2) * P) - (O |^ 2) is Element of the carrier of (GF p)
((R + o2) * P) + (- (O |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((R + o2) * P),(- (O |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((F * Q) * O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((F * Q) * O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((F * Q) * O)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((F * Q) * O)) + (- ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * ((F * Q) * O)),(- ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (o2 * (O |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(o2 * (O |^ 3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((F * Q) * O)) - ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((F * Q) * O)) + (- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * ((F * Q) * O)),(- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))))) is Element of the carrier of (GF p)
(F * O) * ((O |^ 2) - (o2 * P)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),((O |^ 2) - (o2 * P))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((F * O) * ((O |^ 2) - (o2 * P))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((F * O) * ((O |^ 2) - (o2 * P)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((F * O) * ((O |^ 2) - (o2 * P)))) - ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((F * O) * ((O |^ 2) - (o2 * P)))) + (- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * ((F * O) * ((O |^ 2) - (o2 * P)))),(- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (F * O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(F * O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (F * O)) * ((O |^ 2) - (o2 * P)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (F * O)),((O |^ 2) - (o2 * P))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (F * O)) * ((O |^ 2) - (o2 * P))) - ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (F * O)) * ((O |^ 2) - (o2 * P))) + (- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * (F * O)) * ((O |^ 2) - (o2 * P))),(- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * O) * F is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * O),F) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * O) * F) * ((O |^ 2) - (o2 * P)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) * O) * F),((O |^ 2) - (o2 * P))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),g2) * O) * F) * ((O |^ 2) - (o2 * P))) - ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),g2) * O) * F) * ((O |^ 2) - (o2 * P))) + (- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),g2) * O) * F) * ((O |^ 2) - (o2 * P))),(- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * O) * ((O |^ 2) - (o2 * P)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * O),((O |^ 2) - (o2 * P))) is Element of the carrier of (GF p)
F * (((p,(p,z),(p,z),g2) * O) * ((O |^ 2) - (o2 * P))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((p,(p,z),(p,z),g2) * O) * ((O |^ 2) - (o2 * P)))) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),g2) * O) * ((O |^ 2) - (o2 * P)))) - ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),g2) * O) * ((O |^ 2) - (o2 * P)))) + (- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * (((p,(p,z),(p,z),g2) * O) * ((O |^ 2) - (o2 * P)))),(- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * O) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * O),(O |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * O) * (o2 * P) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * O),(o2 * P)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * O) * (O |^ 2)) - (((p,(p,z),(p,z),g2) * O) * (o2 * P)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),g2) * O) * (o2 * P)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * O) * (O |^ 2)) + (- (((p,(p,z),(p,z),g2) * O) * (o2 * P))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * O) * (O |^ 2)),(- (((p,(p,z),(p,z),g2) * O) * (o2 * P)))) is Element of the carrier of (GF p)
F * ((((p,(p,z),(p,z),g2) * O) * (O |^ 2)) - (((p,(p,z),(p,z),g2) * O) * (o2 * P))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((((p,(p,z),(p,z),g2) * O) * (O |^ 2)) - (((p,(p,z),(p,z),g2) * O) * (o2 * P)))) is Element of the carrier of (GF p)
(F * ((((p,(p,z),(p,z),g2) * O) * (O |^ 2)) - (((p,(p,z),(p,z),g2) * O) * (o2 * P)))) - ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))) is Element of the carrier of (GF p)
(F * ((((p,(p,z),(p,z),g2) * O) * (O |^ 2)) - (((p,(p,z),(p,z),g2) * O) * (o2 * P)))) + (- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * ((((p,(p,z),(p,z),g2) * O) * (O |^ 2)) - (((p,(p,z),(p,z),g2) * O) * (o2 * P)))),(- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * O) * P) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) * O) * P),o2) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * O) * (O |^ 2)) - ((((p,(p,z),(p,z),g2) * O) * P) * o2) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),g2) * O) * P) * o2) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * O) * (O |^ 2)) + (- ((((p,(p,z),(p,z),g2) * O) * P) * o2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * O) * (O |^ 2)),(- ((((p,(p,z),(p,z),g2) * O) * P) * o2))) is Element of the carrier of (GF p)
F * ((((p,(p,z),(p,z),g2) * O) * (O |^ 2)) - ((((p,(p,z),(p,z),g2) * O) * P) * o2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((((p,(p,z),(p,z),g2) * O) * (O |^ 2)) - ((((p,(p,z),(p,z),g2) * O) * P) * o2))) is Element of the carrier of (GF p)
(F * ((((p,(p,z),(p,z),g2) * O) * (O |^ 2)) - ((((p,(p,z),(p,z),g2) * O) * P) * o2))) - ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))) is Element of the carrier of (GF p)
(F * ((((p,(p,z),(p,z),g2) * O) * (O |^ 2)) - ((((p,(p,z),(p,z),g2) * O) * P) * o2))) + (- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * ((((p,(p,z),(p,z),g2) * O) * (O |^ 2)) - ((((p,(p,z),(p,z),g2) * O) * P) * o2))),(- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))))) is Element of the carrier of (GF p)
F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((p,(p,z),(p,z),g2) * O) * (O |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 3)) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (O |^ 3)),o2) is Element of the carrier of (GF p)
F * (((p,(p,z),(p,z),g2) * (O |^ 3)) * o2) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((p,(p,z),(p,z),g2) * (O |^ 3)) * o2)) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) - (F * (((p,(p,z),(p,z),g2) * (O |^ 3)) * o2)) is Element of the carrier of (GF p)
- (F * (((p,(p,z),(p,z),g2) * (O |^ 3)) * o2)) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) + (- (F * (((p,(p,z),(p,z),g2) * (O |^ 3)) * o2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))),(- (F * (((p,(p,z),(p,z),g2) * (O |^ 3)) * o2)))) is Element of the carrier of (GF p)
((F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) - (F * (((p,(p,z),(p,z),g2) * (O |^ 3)) * o2))) - ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))) is Element of the carrier of (GF p)
((F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) - (F * (((p,(p,z),(p,z),g2) * (O |^ 3)) * o2))) + (- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) - (F * (((p,(p,z),(p,z),g2) * (O |^ 3)) * o2))),(- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))))) is Element of the carrier of (GF p)
(F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * o2),((p,(p,z),(p,z),g2) * (O |^ 3))) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) - ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3))) is Element of the carrier of (GF p)
- ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3))) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) + (- ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))),(- ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3))))) is Element of the carrier of (GF p)
((F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) - ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))) - ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))) is Element of the carrier of (GF p)
((F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) - ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))) + (- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) - ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))),(- ((p,(p,z),(p,z),g2) * (o2 * (O |^ 3))))) is Element of the carrier of (GF p)
o2 * ((p,(p,z),(p,z),g2) * (O |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((p,(p,z),(p,z),g2) * (O |^ 3))) is Element of the carrier of (GF p)
((F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) - ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))) - (o2 * ((p,(p,z),(p,z),g2) * (O |^ 3))) is Element of the carrier of (GF p)
- (o2 * ((p,(p,z),(p,z),g2) * (O |^ 3))) is Element of the carrier of (GF p)
((F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) - ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))) + (- (o2 * ((p,(p,z),(p,z),g2) * (O |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) - ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))),(- (o2 * ((p,(p,z),(p,z),g2) * (O |^ 3))))) is Element of the carrier of (GF p)
(o2 * ((p,(p,z),(p,z),g2) * (O |^ 3))) + ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((o2 * ((p,(p,z),(p,z),g2) * (O |^ 3))),((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) - ((o2 * ((p,(p,z),(p,z),g2) * (O |^ 3))) + ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))) is Element of the carrier of (GF p)
- ((o2 * ((p,(p,z),(p,z),g2) * (O |^ 3))) + ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) + (- ((o2 * ((p,(p,z),(p,z),g2) * (O |^ 3))) + ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))),(- ((o2 * ((p,(p,z),(p,z),g2) * (O |^ 3))) + ((F * o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))))) is Element of the carrier of (GF p)
(o2 + (F * o2)) * ((p,(p,z),(p,z),g2) * (O |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 + (F * o2)),((p,(p,z),(p,z),g2) * (O |^ 3))) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) - ((o2 + (F * o2)) * ((p,(p,z),(p,z),g2) * (O |^ 3))) is Element of the carrier of (GF p)
- ((o2 + (F * o2)) * ((p,(p,z),(p,z),g2) * (O |^ 3))) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) + (- ((o2 + (F * o2)) * ((p,(p,z),(p,z),g2) * (O |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))),(- ((o2 + (F * o2)) * ((p,(p,z),(p,z),g2) * (O |^ 3))))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
((o2 + (F * o2)) * ((p,(p,z),(p,z),g2) * (O |^ 3))) - (F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) is Element of the carrier of (GF p)
- (F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) is Element of the carrier of (GF p)
((o2 + (F * o2)) * ((p,(p,z),(p,z),g2) * (O |^ 3))) + (- (F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((o2 + (F * o2)) * ((p,(p,z),(p,z),g2) * (O |^ 3))),(- (F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))))) is Element of the carrier of (GF p)
(R + o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R + o2),((p,(p,z),(p,z),g2) * (O |^ 3))) is Element of the carrier of (GF p)
F * ((R + o2) * ((p,(p,z),(p,z),g2) * (O |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((R + o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))) is Element of the carrier of (GF p)
(F * ((R + o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))) - (F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) is Element of the carrier of (GF p)
(F * ((R + o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))) + (- (F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * ((R + o2) * ((p,(p,z),(p,z),g2) * (O |^ 3)))),(- (F * (((p,(p,z),(p,z),g2) * O) * (O |^ 2))))) is Element of the carrier of (GF p)
((R + o2) * ((p,(p,z),(p,z),g2) * (O |^ 3))) - (((p,(p,z),(p,z),g2) * O) * (O |^ 2)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),g2) * O) * (O |^ 2)) is Element of the carrier of (GF p)
((R + o2) * ((p,(p,z),(p,z),g2) * (O |^ 3))) + (- (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R + o2) * ((p,(p,z),(p,z),g2) * (O |^ 3))),(- (((p,(p,z),(p,z),g2) * O) * (O |^ 2)))) is Element of the carrier of (GF p)
F * (((R + o2) * ((p,(p,z),(p,z),g2) * (O |^ 3))) - (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((R + o2) * ((p,(p,z),(p,z),g2) * (O |^ 3))) - (((p,(p,z),(p,z),g2) * O) * (O |^ 2)))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) * ((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is Element of the carrier of (GF p)
O * (((R + o2) * P) - (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(((R + o2) * P) - (O |^ 2))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) * (O * (((R + o2) * P) - (O |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(O * (((R + o2) * P) - (O |^ 2)))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) * ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) * (O * (((R + o2) * P) - (O |^ 2)))) - (((F * O) * (p,(p,z),(p,z),g2)) * ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))) is Element of the carrier of (GF p)
- (((F * O) * (p,(p,z),(p,z),g2)) * ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) * (O * (((R + o2) * P) - (O |^ 2)))) + (- (((F * O) * (p,(p,z),(p,z),g2)) * ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * O) * (p,(p,z),(p,z),g2)) * (O * (((R + o2) * P) - (O |^ 2)))),(- (((F * O) * (p,(p,z),(p,z),g2)) * ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))))) is Element of the carrier of (GF p)
O * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
F * (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(F * (O * (p,(p,z),(p,z),g2))) * ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O * (p,(p,z),(p,z),g2))),((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))) is Element of the carrier of (GF p)
- ((F * (O * (p,(p,z),(p,z),g2))) * ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),g2) * O) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),(O |^ 2)) is Element of the carrier of (GF p)
o2 * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),g2) * O)) * (o2 * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * ((p,(p,z),(p,z),g2) * O)),(o2 * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)))) is Element of the carrier of (GF p)
- ((F * ((p,(p,z),(p,z),g2) * O)) * (o2 * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)))) is Element of the carrier of (GF p)
F * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(F * (p,(p,z),(p,z),g2)) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,(p,z),(p,z),g2)),O) is Element of the carrier of (GF p)
(O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
o2 * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
((F * (p,(p,z),(p,z),g2)) * O) * (o2 * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (p,(p,z),(p,z),g2)) * O),(o2 * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
- (((F * (p,(p,z),(p,z),g2)) * O) * (o2 * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
O * (o2 * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(o2 * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
(F * (p,(p,z),(p,z),g2)) * (O * (o2 * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,(p,z),(p,z),g2)),(O * (o2 * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
- ((F * (p,(p,z),(p,z),g2)) * (O * (o2 * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
o2 * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(O |^ 2)) is Element of the carrier of (GF p)
(o2 * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * (O |^ 2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
O * ((o2 * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((o2 * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(F * (p,(p,z),(p,z),g2)) * (O * ((o2 * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,(p,z),(p,z),g2)),(O * ((o2 * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
- ((F * (p,(p,z),(p,z),g2)) * (O * ((o2 * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
O * (o2 * (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(o2 * (O |^ 2))) is Element of the carrier of (GF p)
(O * (o2 * (O |^ 2))) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O * (o2 * (O |^ 2))),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(F * (p,(p,z),(p,z),g2)) * ((O * (o2 * (O |^ 2))) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,(p,z),(p,z),g2)),((O * (o2 * (O |^ 2))) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
- ((F * (p,(p,z),(p,z),g2)) * ((O * (o2 * (O |^ 2))) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
O * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (O,o2) is Element of the carrier of (GF p)
(O * o2) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O * o2),(O |^ 2)) is Element of the carrier of (GF p)
((O * o2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((O * o2) * (O |^ 2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(F * (p,(p,z),(p,z),g2)) * (((O * o2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,(p,z),(p,z),g2)),(((O * o2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
- ((F * (p,(p,z),(p,z),g2)) * (((O * o2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(F * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (p,(p,z),(p,z),g2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((F * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((O * o2) * (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2)),((O * o2) * (O |^ 2))) is Element of the carrier of (GF p)
- (((F * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((O * o2) * (O |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
o2 * O is Element of the carrier of (GF p)
the multF of (GF p) . (o2,O) is Element of the carrier of (GF p)
(o2 * O) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * O),(O |^ 2)) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ 2))) * ((o2 * O) * (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ 2))),((o2 * O) * (O |^ 2))) is Element of the carrier of (GF p)
- ((F * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ 2))) * ((o2 * O) * (O |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
F * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
O * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(O |^ 2)) is Element of the carrier of (GF p)
o2 * (O * (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(O * (O |^ 2))) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2))) * (o2 * (O * (O |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2))),(o2 * (O * (O |^ 2)))) is Element of the carrier of (GF p)
- ((F * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2))) * (o2 * (O * (O |^ 2)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
F * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
o2 * ((O |^ 2) * O) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((O |^ 2) * O)) is Element of the carrier of (GF p)
(F * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) * (o2 * ((O |^ 2) * O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))),(o2 * ((O |^ 2) * O))) is Element of the carrier of (GF p)
- ((F * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) * (o2 * ((O |^ 2) * O))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) * (o2 * ((O |^ 2) * O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))),(o2 * ((O |^ 2) * O))) is Element of the carrier of (GF p)
- ((F * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) * (o2 * ((O |^ 2) * O))) is Element of the carrier of (GF p)
o2 * (O |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(O |^ (2 + 1))) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) * (o2 * (O |^ (2 + 1))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))),(o2 * (O |^ (2 + 1)))) is Element of the carrier of (GF p)
- ((F * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) * (o2 * (O |^ (2 + 1)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),O) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * O) * (o2 * (O |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * O),(o2 * (O |^ 3))) is Element of the carrier of (GF p)
F * (((p,(p,z),(p,z),g2) * O) * (o2 * (O |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((p,(p,z),(p,z),g2) * O) * (o2 * (O |^ 3)))) is Element of the carrier of (GF p)
- (F * (((p,(p,z),(p,z),g2) * O) * (o2 * (O |^ 3)))) is Element of the carrier of (GF p)
O * (o2 * (O |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(o2 * (O |^ 3))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (O * (o2 * (O |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O * (o2 * (O |^ 3)))) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),g2) * (O * (o2 * (O |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),g2) * (O * (o2 * (O |^ 3))))) is Element of the carrier of (GF p)
- (F * ((p,(p,z),(p,z),g2) * (O * (o2 * (O |^ 3))))) is Element of the carrier of (GF p)
O * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(g3 `3_3)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (O * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O * (g3 `3_3))) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),g2) * (O * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),g2) * (O * (g3 `3_3)))) is Element of the carrier of (GF p)
- (F * ((p,(p,z),(p,z),g2) * (O * (g3 `3_3)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(g3 `3_3)) is Element of the carrier of (GF p)
O * ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
F * (O * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(O * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
- (F * (O * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(F * O) * ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((F * O) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
- (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) * (((R + o2) * P) - (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(((R + o2) * P) - (O |^ 2))) is Element of the carrier of (GF p)
O * (((F * O) * (p,(p,z),(p,z),g2)) * (((R + o2) * P) - (O |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(((F * O) * (p,(p,z),(p,z),g2)) * (((R + o2) * P) - (O |^ 2)))) is Element of the carrier of (GF p)
(F * (O * (p,(p,z),(p,z),g2))) * (((R + o2) * P) - (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O * (p,(p,z),(p,z),g2))),(((R + o2) * P) - (O |^ 2))) is Element of the carrier of (GF p)
O * ((F * (O * (p,(p,z),(p,z),g2))) * (((R + o2) * P) - (O |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((F * (O * (p,(p,z),(p,z),g2))) * (((R + o2) * P) - (O |^ 2)))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) * (((R + o2) * P) - (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(((R + o2) * P) - (O |^ 2))) is Element of the carrier of (GF p)
F * ((O * (p,(p,z),(p,z),g2)) * (((R + o2) * P) - (O |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((O * (p,(p,z),(p,z),g2)) * (((R + o2) * P) - (O |^ 2)))) is Element of the carrier of (GF p)
O * (F * ((O * (p,(p,z),(p,z),g2)) * (((R + o2) * P) - (O |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(F * ((O * (p,(p,z),(p,z),g2)) * (((R + o2) * P) - (O |^ 2))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * O) * ((R + o2) * P) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * O),((R + o2) * P)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * O) * ((R + o2) * P)) - (((p,(p,z),(p,z),g2) * O) * (O |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * O) * ((R + o2) * P)) + (- (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * O) * ((R + o2) * P)),(- (((p,(p,z),(p,z),g2) * O) * (O |^ 2)))) is Element of the carrier of (GF p)
F * ((((p,(p,z),(p,z),g2) * O) * ((R + o2) * P)) - (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((((p,(p,z),(p,z),g2) * O) * ((R + o2) * P)) - (((p,(p,z),(p,z),g2) * O) * (O |^ 2)))) is Element of the carrier of (GF p)
O * (F * ((((p,(p,z),(p,z),g2) * O) * ((R + o2) * P)) - (((p,(p,z),(p,z),g2) * O) * (O |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(F * ((((p,(p,z),(p,z),g2) * O) * ((R + o2) * P)) - (((p,(p,z),(p,z),g2) * O) * (O |^ 2))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * O) * P) * (R + o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) * O) * P),(R + o2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),g2) * O) * P) * (R + o2)) - (((p,(p,z),(p,z),g2) * O) * (O |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),g2) * O) * P) * (R + o2)) + (- (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),g2) * O) * P) * (R + o2)),(- (((p,(p,z),(p,z),g2) * O) * (O |^ 2)))) is Element of the carrier of (GF p)
F * (((((p,(p,z),(p,z),g2) * O) * P) * (R + o2)) - (((p,(p,z),(p,z),g2) * O) * (O |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((((p,(p,z),(p,z),g2) * O) * P) * (R + o2)) - (((p,(p,z),(p,z),g2) * O) * (O |^ 2)))) is Element of the carrier of (GF p)
O * (F * (((((p,(p,z),(p,z),g2) * O) * P) * (R + o2)) - (((p,(p,z),(p,z),g2) * O) * (O |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(F * (((((p,(p,z),(p,z),g2) * O) * P) * (R + o2)) - (((p,(p,z),(p,z),g2) * O) * (O |^ 2))))) is Element of the carrier of (GF p)
- (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(- (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) - (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
(- (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) + (- (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(- (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
2 mod p is V11() V12() integer ext-real set
3 mod p is V11() V12() integer ext-real set
4 mod p is V11() V12() integer ext-real set
8 mod p is V11() V12() integer ext-real set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
O is Element of the carrier of (GF p)
O is Element of the carrier of (GF p)
P is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
O |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (O,2) is set
o2 * P is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (o2,P) is Element of the carrier of (GF p)
(O |^ 2) - (o2 * P) is Element of the carrier of (GF p)
- (o2 * P) is Element of the carrier of (GF p)
(O |^ 2) + (- (o2 * P)) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . ((O |^ 2),(- (o2 * P))) is Element of the carrier of (GF p)
F * Q is Element of the carrier of (GF p)
the multF of (GF p) . (F,Q) is Element of the carrier of (GF p)
(F * Q) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),O) is Element of the carrier of (GF p)
R * P is Element of the carrier of (GF p)
the multF of (GF p) . (R,P) is Element of the carrier of (GF p)
(R * P) - Q is Element of the carrier of (GF p)
- Q is Element of the carrier of (GF p)
(R * P) + (- Q) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * P),(- Q)) is Element of the carrier of (GF p)
O * ((R * P) - Q) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((R * P) - Q)) is Element of the carrier of (GF p)
O |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (O,2) is set
O |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (O,3) is set
o2 * (O |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(O |^ 3)) is Element of the carrier of (GF p)
R * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(O |^ 2)) is Element of the carrier of (GF p)
o2 * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(O |^ 2)) is Element of the carrier of (GF p)
g2 is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
(p,z) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
Q * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) + (Q * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),g2) |^ 2)),(Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
o2 * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * ((p,(p,z),(p,z),g2) |^ 2)),(O |^ 2)) is Element of the carrier of (GF p)
(O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
(O * ((R * P) - Q)) + (- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * ((R * P) - Q)),(- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is Element of the carrier of (GF p)
[((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))),(o2 * (O |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is V29() set
K23(K23(((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))),(o2 * (O |^ 3))) is V29() set
(R * (O |^ 2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(O |^ 2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(o2 * (O |^ 2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * (O |^ 2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
- ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((O |^ 2) * (p,(p,z),(p,z),g2)) + (- ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * (p,(p,z),(p,z),g2)),(- ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
g3 is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
g3 `1_3 is Element of the carrier of (GF p)
g3 `1 is set
(g3 `1) `1 is set
((R * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * (p,(p,z),(p,z),g2)),(g3 `1_3)) is Element of the carrier of (GF p)
g3 `3_3 is Element of the carrier of (GF p)
(g3 `3_3) * (((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
2 * 4 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(2 * 4) mod p is V11() V12() integer ext-real set
F * R is Element of the carrier of (GF p)
the multF of (GF p) . (F,R) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * P is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),P) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))),O) is Element of the carrier of (GF p)
O * O is Element of the carrier of (GF p)
the multF of (GF p) . (O,O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (O * O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O * O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O |^ 2)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * (p,(p,z),(p,z),g2)) * ((F * Q) * O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * (p,(p,z),(p,z),g2)),((F * Q) * O)) is Element of the carrier of (GF p)
Q * O is Element of the carrier of (GF p)
the multF of (GF p) . (Q,O) is Element of the carrier of (GF p)
F * (Q * O) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(Q * O)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (F * (Q * O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * (p,(p,z),(p,z),g2)),(F * (Q * O))) is Element of the carrier of (GF p)
(O |^ 2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
R * ((O |^ 2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((O |^ 2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
O * Q is Element of the carrier of (GF p)
the multF of (GF p) . (O,Q) is Element of the carrier of (GF p)
F * (O * Q) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(O * Q)) is Element of the carrier of (GF p)
(R * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (F * (O * Q)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * ((O |^ 2) * (p,(p,z),(p,z),g2))),(F * (O * Q))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O |^ 2)) is Element of the carrier of (GF p)
R * ((p,(p,z),(p,z),g2) * (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((p,(p,z),(p,z),g2) * (O |^ 2))) is Element of the carrier of (GF p)
F * O is Element of the carrier of (GF p)
the multF of (GF p) . (F,O) is Element of the carrier of (GF p)
(F * O) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),Q) is Element of the carrier of (GF p)
(R * ((p,(p,z),(p,z),g2) * (O |^ 2))) * ((F * O) * Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * ((p,(p,z),(p,z),g2) * (O |^ 2))),((F * O) * Q)) is Element of the carrier of (GF p)
R * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),g2)) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),g2)),(O |^ 2)) is Element of the carrier of (GF p)
O * F is Element of the carrier of (GF p)
the multF of (GF p) . (O,F) is Element of the carrier of (GF p)
(O * F) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((O * F),Q) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),g2)) * (O |^ 2)) * ((O * F) * Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),g2)) * (O |^ 2)),((O * F) * Q)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),g2)) * (O |^ 2)) * (O * F) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),g2)) * (O |^ 2)),(O * F)) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),g2)) * (O |^ 2)) * (O * F)) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (p,(p,z),(p,z),g2)) * (O |^ 2)) * (O * F)),Q) is Element of the carrier of (GF p)
(O |^ 2) * (O * F) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(O * F)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),g2)) * ((O |^ 2) * (O * F)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),g2)),((O |^ 2) * (O * F))) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),g2)) * ((O |^ 2) * (O * F))) * Q is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),g2)) * ((O |^ 2) * (O * F))),Q) is Element of the carrier of (GF p)
(O |^ 2) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),O) is Element of the carrier of (GF p)
((O |^ 2) * O) * F is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * O),F) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),g2)) * (((O |^ 2) * O) * F) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),g2)),(((O |^ 2) * O) * F)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),g2)) * (((O |^ 2) * O) * F)) * Q is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),g2)) * (((O |^ 2) * O) * F)),Q) is Element of the carrier of (GF p)
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
O |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . (O,(2 + 1)) is set
(O |^ (2 + 1)) * F is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ (2 + 1)),F) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),g2)) * ((O |^ (2 + 1)) * F) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),g2)),((O |^ (2 + 1)) * F)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),g2)) * ((O |^ (2 + 1)) * F)) * Q is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),g2)) * ((O |^ (2 + 1)) * F)),Q) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),g2)) * F is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),g2)),F) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),g2)) * F) * (O |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),g2)) * F),(O |^ 3)) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),g2)) * F) * (O |^ 3)) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (p,(p,z),(p,z),g2)) * F) * (O |^ 3)),Q) is Element of the carrier of (GF p)
(F * R) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * R),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((F * R) * (p,(p,z),(p,z),g2)) * (O |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * R) * (p,(p,z),(p,z),g2)),(O |^ 3)) is Element of the carrier of (GF p)
(((F * R) * (p,(p,z),(p,z),g2)) * (O |^ 3)) * ((O |^ 2) - (o2 * P)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * R) * (p,(p,z),(p,z),g2)) * (O |^ 3)),((O |^ 2) - (o2 * P))) is Element of the carrier of (GF p)
(o2 * (O |^ 3)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * (O |^ 3)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((o2 * (O |^ 3)) * (p,(p,z),(p,z),g2)) * ((O |^ 2) - (o2 * P)) is Element of the carrier of (GF p)
the multF of (GF p) . (((o2 * (O |^ 3)) * (p,(p,z),(p,z),g2)),((O |^ 2) - (o2 * P))) is Element of the carrier of (GF p)
(o2 * (O |^ 3)) * (((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * (O |^ 3)),(((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O |^ 2)) is Element of the carrier of (GF p)
(O |^ 2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
o2 * ((O |^ 2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((O |^ 2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) - (o2 * ((O |^ 2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- (o2 * ((O |^ 2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) + (- (o2 * ((O |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (O |^ 2)),(- (o2 * ((O |^ 2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(o2 * (O |^ 3)) * (((p,(p,z),(p,z),g2) * (O |^ 2)) - (o2 * ((O |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * (O |^ 3)),(((p,(p,z),(p,z),g2) * (O |^ 2)) - (o2 * ((O |^ 2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (o2 * P) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(o2 * P)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) - ((p,(p,z),(p,z),g2) * (o2 * P)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),g2) * (o2 * P)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) + (- ((p,(p,z),(p,z),g2) * (o2 * P))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (O |^ 2)),(- ((p,(p,z),(p,z),g2) * (o2 * P)))) is Element of the carrier of (GF p)
(o2 * (O |^ 3)) * (((p,(p,z),(p,z),g2) * (O |^ 2)) - ((p,(p,z),(p,z),g2) * (o2 * P))) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * (O |^ 3)),(((p,(p,z),(p,z),g2) * (O |^ 2)) - ((p,(p,z),(p,z),g2) * (o2 * P)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((O |^ 2) - (o2 * P)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((O |^ 2) - (o2 * P))) is Element of the carrier of (GF p)
(o2 * (O |^ 3)) * ((p,(p,z),(p,z),g2) * ((O |^ 2) - (o2 * P))) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * (O |^ 3)),((p,(p,z),(p,z),g2) * ((O |^ 2) - (o2 * P)))) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
2 mod p is V11() V12() integer ext-real set
3 mod p is V11() V12() integer ext-real set
4 mod p is V11() V12() integer ext-real set
8 mod p is V11() V12() integer ext-real set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
O is Element of the carrier of (GF p)
O is Element of the carrier of (GF p)
P is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
O |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (O,2) is set
o2 * P is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (o2,P) is Element of the carrier of (GF p)
(O |^ 2) - (o2 * P) is Element of the carrier of (GF p)
- (o2 * P) is Element of the carrier of (GF p)
(O |^ 2) + (- (o2 * P)) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . ((O |^ 2),(- (o2 * P))) is Element of the carrier of (GF p)
F * Q is Element of the carrier of (GF p)
the multF of (GF p) . (F,Q) is Element of the carrier of (GF p)
(F * Q) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),O) is Element of the carrier of (GF p)
R * P is Element of the carrier of (GF p)
the multF of (GF p) . (R,P) is Element of the carrier of (GF p)
(R * P) - Q is Element of the carrier of (GF p)
- Q is Element of the carrier of (GF p)
(R * P) + (- Q) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * P),(- Q)) is Element of the carrier of (GF p)
O * ((R * P) - Q) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((R * P) - Q)) is Element of the carrier of (GF p)
O |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (O,2) is set
O |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (O,3) is set
o2 * (O |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(O |^ 3)) is Element of the carrier of (GF p)
R * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(O |^ 2)) is Element of the carrier of (GF p)
F * O is Element of the carrier of (GF p)
the multF of (GF p) . (F,O) is Element of the carrier of (GF p)
g2 is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
(p,z) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
Q * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) + (Q * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),g2) |^ 2)),(Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
o2 * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * ((p,(p,z),(p,z),g2) |^ 2)),(O |^ 2)) is Element of the carrier of (GF p)
(O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
(O * ((R * P) - Q)) + (- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * ((R * P) - Q)),(- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is Element of the carrier of (GF p)
[((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))),(o2 * (O |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is V29() set
K23(K23(((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))),(o2 * (O |^ 3))) is V29() set
(R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(F * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
O * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
- (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) + (- (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(- (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))),2) is set
(R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
g3 is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
g3 `3_3 is Element of the carrier of (GF p)
(p,z) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(g3 `3_3)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((p,z) * (g3 `3_3))) is Element of the carrier of (GF p)
(g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) is Element of the carrier of (GF p)
g3 `1_3 is Element of the carrier of (GF p)
g3 `1 is set
(g3 `1) `1 is set
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(g3 `1_3)) is Element of the carrier of (GF p)
((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) is Element of the carrier of (GF p)
- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) is Element of the carrier of (GF p)
((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) + (- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)),(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
2 * 2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(2 * 2) mod p is V11() V12() integer ext-real set
F * F is Element of the carrier of (GF p)
the multF of (GF p) . (F,F) is Element of the carrier of (GF p)
2 * 4 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(2 * 4) mod p is V11() V12() integer ext-real set
F * R is Element of the carrier of (GF p)
the multF of (GF p) . (F,R) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((F * Q) * O) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((F * Q) * O)) is Element of the carrier of (GF p)
- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((F * Q) * O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * ((F * Q) * O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),((F * Q) * O)) is Element of the carrier of (GF p)
(R * (O |^ 2)) * (((p,(p,z),(p,z),g2) |^ 2) * ((F * Q) * O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),(((p,(p,z),(p,z),g2) |^ 2) * ((F * Q) * O))) is Element of the carrier of (GF p)
- ((R * (O |^ 2)) * (((p,(p,z),(p,z),g2) |^ 2) * ((F * Q) * O))) is Element of the carrier of (GF p)
(O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((F * Q) * O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((p,(p,z),(p,z),g2) |^ 2) * ((F * Q) * O))) is Element of the carrier of (GF p)
R * ((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((F * Q) * O))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((F * Q) * O)))) is Element of the carrier of (GF p)
- (R * ((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((F * Q) * O)))) is Element of the carrier of (GF p)
(O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((F * Q) * O) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)),((F * Q) * O)) is Element of the carrier of (GF p)
R * (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((F * Q) * O)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((F * Q) * O))) is Element of the carrier of (GF p)
- (R * (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((F * Q) * O))) is Element of the carrier of (GF p)
Q * O is Element of the carrier of (GF p)
the multF of (GF p) . (Q,O) is Element of the carrier of (GF p)
F * (Q * O) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(Q * O)) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (F * (Q * O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)),(F * (Q * O))) is Element of the carrier of (GF p)
R * (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (F * (Q * O))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (F * (Q * O)))) is Element of the carrier of (GF p)
- (R * (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (F * (Q * O)))) is Element of the carrier of (GF p)
O * Q is Element of the carrier of (GF p)
the multF of (GF p) . (O,Q) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (O * Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)),(O * Q)) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (O * Q)) * F is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (O * Q)),F) is Element of the carrier of (GF p)
R * ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (O * Q)) * F) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (O * Q)) * F)) is Element of the carrier of (GF p)
- (R * ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (O * Q)) * F)) is Element of the carrier of (GF p)
R * F is Element of the carrier of (GF p)
the multF of (GF p) . (R,F) is Element of the carrier of (GF p)
(R * F) * (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (O * Q)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * F),(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (O * Q))) is Element of the carrier of (GF p)
- ((R * F) * (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (O * Q))) is Element of the carrier of (GF p)
(O |^ 2) * (O * Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(O * Q)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * ((O |^ 2) * (O * Q)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),((O |^ 2) * (O * Q))) is Element of the carrier of (GF p)
o2 * (((p,(p,z),(p,z),g2) |^ 2) * ((O |^ 2) * (O * Q))) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(((p,(p,z),(p,z),g2) |^ 2) * ((O |^ 2) * (O * Q)))) is Element of the carrier of (GF p)
- (o2 * (((p,(p,z),(p,z),g2) |^ 2) * ((O |^ 2) * (O * Q)))) is Element of the carrier of (GF p)
(O |^ 2) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),O) is Element of the carrier of (GF p)
((O |^ 2) * O) * Q is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * O),Q) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * (((O |^ 2) * O) * Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),(((O |^ 2) * O) * Q)) is Element of the carrier of (GF p)
o2 * (((p,(p,z),(p,z),g2) |^ 2) * (((O |^ 2) * O) * Q)) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(((p,(p,z),(p,z),g2) |^ 2) * (((O |^ 2) * O) * Q))) is Element of the carrier of (GF p)
- (o2 * (((p,(p,z),(p,z),g2) |^ 2) * (((O |^ 2) * O) * Q))) is Element of the carrier of (GF p)
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
O |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . (O,(2 + 1)) is set
(O |^ (2 + 1)) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ (2 + 1)),Q) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * ((O |^ (2 + 1)) * Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),((O |^ (2 + 1)) * Q)) is Element of the carrier of (GF p)
o2 * (((p,(p,z),(p,z),g2) |^ 2) * ((O |^ (2 + 1)) * Q)) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(((p,(p,z),(p,z),g2) |^ 2) * ((O |^ (2 + 1)) * Q))) is Element of the carrier of (GF p)
- (o2 * (((p,(p,z),(p,z),g2) |^ 2) * ((O |^ (2 + 1)) * Q))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * (O |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),(O |^ 3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) |^ 2) * (O |^ 3)) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) |^ 2) * (O |^ 3)),Q) is Element of the carrier of (GF p)
o2 * ((((p,(p,z),(p,z),g2) |^ 2) * (O |^ 3)) * Q) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((((p,(p,z),(p,z),g2) |^ 2) * (O |^ 3)) * Q)) is Element of the carrier of (GF p)
- (o2 * ((((p,(p,z),(p,z),g2) |^ 2) * (O |^ 3)) * Q)) is Element of the carrier of (GF p)
o2 * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(((p,(p,z),(p,z),g2) |^ 2) * (O |^ 3))) is Element of the carrier of (GF p)
(o2 * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 3))) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 3))),Q) is Element of the carrier of (GF p)
- ((o2 * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 3))) * Q) is Element of the carrier of (GF p)
(o2 * (O |^ 3)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * (O |^ 3)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((o2 * (O |^ 3)) * ((p,(p,z),(p,z),g2) |^ 2)) * Q is Element of the carrier of (GF p)
the multF of (GF p) . (((o2 * (O |^ 3)) * ((p,(p,z),(p,z),g2) |^ 2)),Q) is Element of the carrier of (GF p)
- (((o2 * (O |^ 3)) * ((p,(p,z),(p,z),g2) |^ 2)) * Q) is Element of the carrier of (GF p)
(g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * Q is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)),Q) is Element of the carrier of (GF p)
- (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * Q) is Element of the carrier of (GF p)
((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)),(O |^ 2)) is Element of the carrier of (GF p)
((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (o2 * P) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)),(o2 * P)) is Element of the carrier of (GF p)
(((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) - (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (o2 * P)) is Element of the carrier of (GF p)
- (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (o2 * P)) is Element of the carrier of (GF p)
(((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) + (- (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (o2 * P))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)),(- (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (o2 * P)))) is Element of the carrier of (GF p)
- ((((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) - (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (o2 * P))) is Element of the carrier of (GF p)
(((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (o2 * P)) - (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
- (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
(((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (o2 * P)) + (- (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (o2 * P)),(- (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is Element of the carrier of (GF p)
((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)),o2) is Element of the carrier of (GF p)
(((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * o2) * P is Element of the carrier of (GF p)
the multF of (GF p) . ((((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * o2),P) is Element of the carrier of (GF p)
((((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * o2) * P) - (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
((((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * o2) * P) + (- (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * o2) * P),(- (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is Element of the carrier of (GF p)
o2 * ((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(o2 * ((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2))) * P is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * ((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2))),P) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),(O |^ 2)) is Element of the carrier of (GF p)
(g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
((o2 * ((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2))) * P) - ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
((o2 * ((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2))) * P) + (- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((o2 * ((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2))) * P),(- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))))) is Element of the carrier of (GF p)
((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * P is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)),P) is Element of the carrier of (GF p)
o2 * (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * P) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * P)) is Element of the carrier of (GF p)
(o2 * (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * P)) - ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
(o2 * (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * P)) + (- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((o2 * (((g3 `3_3) * ((p,(p,z),(p,z),g2) |^ 2)) * P)),(- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O)) is Element of the carrier of (GF p)
(g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((p,(p,z),(p,z),g2) |^ 2) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O))) is Element of the carrier of (GF p)
o2 * ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O))) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O)))) is Element of the carrier of (GF p)
(o2 * ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O)))) - ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
(o2 * ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O)))) + (- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((o2 * ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O)))),(- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O))) is Element of the carrier of (GF p)
(g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((p,(p,z),(p,z),g2) |^ 2) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O)))) is Element of the carrier of (GF p)
o2 * ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O)))) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O))))) is Element of the carrier of (GF p)
(o2 * ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O))))) - ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
(o2 * ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O))))) + (- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((o2 * ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O))))),(- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * O) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)),((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
(g3 `3_3) * ((((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * O))) is Element of the carrier of (GF p)
o2 * ((g3 `3_3) * ((((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * O))) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((g3 `3_3) * ((((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * O)))) is Element of the carrier of (GF p)
(o2 * ((g3 `3_3) * ((((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * O)))) - ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
(o2 * ((g3 `3_3) * ((((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * O)))) + (- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((o2 * ((g3 `3_3) * ((((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * O)))),(- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),(2 + 1)) is set
((p,(p,z),(p,z),g2) |^ (2 + 1)) * ((p,(p,z),(p,z),g2) * O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ (2 + 1)),((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
(g3 `3_3) * (((p,(p,z),(p,z),g2) |^ (2 + 1)) * ((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((p,(p,z),(p,z),g2) |^ (2 + 1)) * ((p,(p,z),(p,z),g2) * O))) is Element of the carrier of (GF p)
o2 * ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ (2 + 1)) * ((p,(p,z),(p,z),g2) * O))) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ (2 + 1)) * ((p,(p,z),(p,z),g2) * O)))) is Element of the carrier of (GF p)
(o2 * ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ (2 + 1)) * ((p,(p,z),(p,z),g2) * O)))) - ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
(o2 * ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ (2 + 1)) * ((p,(p,z),(p,z),g2) * O)))) + (- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((o2 * ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ (2 + 1)) * ((p,(p,z),(p,z),g2) * O)))),(- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))))) is Element of the carrier of (GF p)
(g3 `3_3) * ((p,(p,z),(p,z),g2) * O) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),3) is set
((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)) * ((p,(p,z),(p,z),g2) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)),((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
o2 * (((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)) * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)) * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
(o2 * (((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)) * ((p,(p,z),(p,z),g2) |^ 3))) - ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
(o2 * (((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)) * ((p,(p,z),(p,z),g2) |^ 3))) + (- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((o2 * (((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)) * ((p,(p,z),(p,z),g2) |^ 3))),(- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))))) is Element of the carrier of (GF p)
(F * R) * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * R),((g3 `3_3) * ((p,(p,z),(p,z),g2) * O))) is Element of the carrier of (GF p)
((F * R) * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O))) * ((p,(p,z),(p,z),g2) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * R) * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O))),((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
(((F * R) * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O))) * ((p,(p,z),(p,z),g2) |^ 3)) - ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
(((F * R) * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O))) * ((p,(p,z),(p,z),g2) |^ 3)) + (- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * R) * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O))) * ((p,(p,z),(p,z),g2) |^ 3)),(- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))))) is Element of the carrier of (GF p)
R * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((g3 `3_3) * ((p,(p,z),(p,z),g2) * O))) is Element of the carrier of (GF p)
F * (R * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(R * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)))) is Element of the carrier of (GF p)
(F * (R * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)))) * ((p,(p,z),(p,z),g2) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (R * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)))),((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
((F * (R * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)))) * ((p,(p,z),(p,z),g2) |^ 3)) - ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
((F * (R * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)))) * ((p,(p,z),(p,z),g2) |^ 3)) + (- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (R * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O)))) * ((p,(p,z),(p,z),g2) |^ 3)),(- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))))) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),g2) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
(R * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O))) * (F * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O))),(F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
((R * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O))) * (F * ((p,(p,z),(p,z),g2) |^ 3))) - ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))) is Element of the carrier of (GF p)
((R * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O))) * (F * ((p,(p,z),(p,z),g2) |^ 3))) + (- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * ((g3 `3_3) * ((p,(p,z),(p,z),g2) * O))) * (F * ((p,(p,z),(p,z),g2) |^ 3))),(- ((g3 `3_3) * (((p,(p,z),(p,z),g2) |^ 2) * (O |^ 2))))) is Element of the carrier of (GF p)
(O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(g3 `3_3) * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
- ((g3 `3_3) * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
R * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(g3 `3_3)) is Element of the carrier of (GF p)
(R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (g3 `3_3)),((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * (F * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)),(F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
(- ((g3 `3_3) * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) + (((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((g3 `3_3) * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))),(((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) - ((g3 `3_3) * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) + (- ((g3 `3_3) * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)),(- ((g3 `3_3) * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2) - ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
- ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2) + (- ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2),(- ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
(g3 `3_3) * (((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2) - ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2) - ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((O * (p,(p,z),(p,z),g2)),2) is set
((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2) - ((O * (p,(p,z),(p,z),g2)) |^ 2) is Element of the carrier of (GF p)
- ((O * (p,(p,z),(p,z),g2)) |^ 2) is Element of the carrier of (GF p)
((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2) + (- ((O * (p,(p,z),(p,z),g2)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2),(- ((O * (p,(p,z),(p,z),g2)) |^ 2))) is Element of the carrier of (GF p)
(g3 `3_3) * (((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2) - ((O * (p,(p,z),(p,z),g2)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2) - ((O * (p,(p,z),(p,z),g2)) |^ 2))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) + (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))),(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) - (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) + (- (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))),(- (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) + (O * (p,(p,z),(p,z),g2))) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) + (O * (p,(p,z),(p,z),g2))),((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(g3 `3_3) * (((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) + (O * (p,(p,z),(p,z),g2))) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) + (O * (p,(p,z),(p,z),g2))) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) + (- (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(- (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) + (- ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(- ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))),((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) + (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) + (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- ((O * (p,(p,z),(p,z),g2)) + (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) + (- ((O * (p,(p,z),(p,z),g2)) + (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(- ((O * (p,(p,z),(p,z),g2)) + (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) * (((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) + (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))),(((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) + (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) * (((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) + (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) * (((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) + (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
F * (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) - (F * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- (F * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) + (- (F * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(- (F * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) * (((F * O) * (p,(p,z),(p,z),g2)) - (F * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))),(((F * O) * (p,(p,z),(p,z),g2)) - (F * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) * (((F * O) * (p,(p,z),(p,z),g2)) - (F * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((((F * O) * (p,(p,z),(p,z),g2)) - ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) * (((F * O) * (p,(p,z),(p,z),g2)) - (F * (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) - (0. (GF p)) is Element of the carrier of (GF p)
- (0. (GF p)) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) + (- (0. (GF p))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(- (0. (GF p)))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) - (0. (GF p))) * (((F * O) * (p,(p,z),(p,z),g2)) - (F * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * O) * (p,(p,z),(p,z),g2)) - (0. (GF p))),(((F * O) * (p,(p,z),(p,z),g2)) - (F * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (0. (GF p))) * (((F * O) * (p,(p,z),(p,z),g2)) - (F * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((((F * O) * (p,(p,z),(p,z),g2)) - (0. (GF p))) * (((F * O) * (p,(p,z),(p,z),g2)) - (F * (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (F * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(((F * O) * (p,(p,z),(p,z),g2)) - (F * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (((F * O) * (p,(p,z),(p,z),g2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (F * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((F * O) * (p,(p,z),(p,z),g2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (F * (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
O * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
F * (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(F * (O * (p,(p,z),(p,z),g2))) - (F * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(F * (O * (p,(p,z),(p,z),g2))) + (- (F * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * (O * (p,(p,z),(p,z),g2))),(- (F * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) * ((F * (O * (p,(p,z),(p,z),g2))) - (F * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),((F * (O * (p,(p,z),(p,z),g2))) - (F * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (((F * O) * (p,(p,z),(p,z),g2)) * ((F * (O * (p,(p,z),(p,z),g2))) - (F * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((F * O) * (p,(p,z),(p,z),g2)) * ((F * (O * (p,(p,z),(p,z),g2))) - (F * (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) + (- (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(- (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
F * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) * (F * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(F * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (((F * O) * (p,(p,z),(p,z),g2)) * (F * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((F * O) * (p,(p,z),(p,z),g2)) * (F * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) * F is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),F) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) * F) * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * O) * (p,(p,z),(p,z),g2)) * F),((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) * F) * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((((F * O) * (p,(p,z),(p,z),g2)) * F) * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
F * (F * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(F * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(F * (F * (O * (p,(p,z),(p,z),g2)))) * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (F * (O * (p,(p,z),(p,z),g2)))),((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(g3 `3_3) * ((F * (F * (O * (p,(p,z),(p,z),g2)))) * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((F * (F * (O * (p,(p,z),(p,z),g2)))) * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
R * (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(R * (O * (p,(p,z),(p,z),g2))) * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O * (p,(p,z),(p,z),g2))),((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(g3 `3_3) * ((R * (O * (p,(p,z),(p,z),g2))) * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((R * (O * (p,(p,z),(p,z),g2))) * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (R * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(R * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((g3 `3_3) * (R * (O * (p,(p,z),(p,z),g2)))) * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) * (R * (O * (p,(p,z),(p,z),g2)))),((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * ((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)),((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(p,z) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (p,(p,z),(p,z),g2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) |^ 3),(((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),3) is set
(p,z) * ((p,(p,z),(p,z),g2) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))),((p,z) * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)) - ((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)) + (- ((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)),(- ((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),g2) |^ 3))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) - ((g3 `3_3) * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) + (((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) - ((g3 `3_3) * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))),(((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) + (F * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))),(F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * (((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) + (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)),(((O * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) + (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * ((p,(p,z),(p,z),g2) |^ 2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * ((p,(p,z),(p,z),g2) |^ 2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)),((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) - ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) + (- ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(- ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((O * (p,(p,z),(p,z),g2)) - ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)))) + (F * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((O * (p,(p,z),(p,z),g2)) - ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)))),(F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * (((O * (p,(p,z),(p,z),g2)) - ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)))) + (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)),(((O * (p,(p,z),(p,z),g2)) - ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)))) + (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2))) - (F * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
- (F * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2))) + (- (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2))),(- (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) - (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2))) - (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
- (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2))) - (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) + (- (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2))) - (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(- (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2))) - (F * ((p,(p,z),(p,z),g2) |^ 3))))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * ((O * (p,(p,z),(p,z),g2)) - (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2))) - (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)),((O * (p,(p,z),(p,z),g2)) - (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2))) - (F * ((p,(p,z),(p,z),g2) |^ 3))))) is Element of the carrier of (GF p)
Q * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)),(Q * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)))) - (F * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)))) + (- (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)))),(- (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) - (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)))) - (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
- (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)))) - (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) + (- (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)))) - (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(- (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)))) - (F * ((p,(p,z),(p,z),g2) |^ 3))))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * ((O * (p,(p,z),(p,z),g2)) - (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)))) - (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)),((O * (p,(p,z),(p,z),g2)) - (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)))) - (F * ((p,(p,z),(p,z),g2) |^ 3))))) is Element of the carrier of (GF p)
Q * ((p,(p,z),(p,z),g2) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,(p,z),(p,z),g2) |^ (2 + 1))) is Element of the carrier of (GF p)
(((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * ((p,(p,z),(p,z),g2) |^ (2 + 1))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)),(Q * ((p,(p,z),(p,z),g2) |^ (2 + 1)))) is Element of the carrier of (GF p)
((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * ((p,(p,z),(p,z),g2) |^ (2 + 1)))) - (F * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * ((p,(p,z),(p,z),g2) |^ (2 + 1)))) + (- (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * ((p,(p,z),(p,z),g2) |^ (2 + 1)))),(- (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) - (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * ((p,(p,z),(p,z),g2) |^ (2 + 1)))) - (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
- (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * ((p,(p,z),(p,z),g2) |^ (2 + 1)))) - (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) + (- (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * ((p,(p,z),(p,z),g2) |^ (2 + 1)))) - (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(- (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * ((p,(p,z),(p,z),g2) |^ (2 + 1)))) - (F * ((p,(p,z),(p,z),g2) |^ 3))))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * ((O * (p,(p,z),(p,z),g2)) - (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * ((p,(p,z),(p,z),g2) |^ (2 + 1)))) - (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)),((O * (p,(p,z),(p,z),g2)) - (((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + (Q * ((p,(p,z),(p,z),g2) |^ (2 + 1)))) - (F * ((p,(p,z),(p,z),g2) |^ 3))))) is Element of the carrier of (GF p)
Q * ((p,(p,z),(p,z),g2) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
(Q * ((p,(p,z),(p,z),g2) |^ 3)) - (F * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
(Q * ((p,(p,z),(p,z),g2) |^ 3)) + (- (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * ((p,(p,z),(p,z),g2) |^ 3)),(- (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
(((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 3)) - (F * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)),((Q * ((p,(p,z),(p,z),g2) |^ 3)) - (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) - ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 3)) - (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
- ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 3)) - (F * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) + (- ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 3)) - (F * ((p,(p,z),(p,z),g2) |^ 3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(- ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 3)) - (F * ((p,(p,z),(p,z),g2) |^ 3)))))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * ((O * (p,(p,z),(p,z),g2)) - ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 3)) - (F * ((p,(p,z),(p,z),g2) |^ 3))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)),((O * (p,(p,z),(p,z),g2)) - ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((Q * ((p,(p,z),(p,z),g2) |^ 3)) - (F * ((p,(p,z),(p,z),g2) |^ 3)))))) is Element of the carrier of (GF p)
(((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((p,(p,z),(p,z),g2) |^ 3) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)),((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) - ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
- ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) + (- ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(- ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * ((O * (p,(p,z),(p,z),g2)) - ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)),((O * (p,(p,z),(p,z),g2)) - ((((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,(p,z),(p,z),g2)) + ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),g2) |^ 3))) - (((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),g2) |^ 3))) + (- (((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),g2) |^ 3))),(- (((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)) * (((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),g2) |^ 3))) - (((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * ((p,(p,z),(p,z),g2) * O)),(((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) + ((p,z) * ((p,(p,z),(p,z),g2) |^ 3))) - (((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(R * (g3 `3_3)) * (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (g3 `3_3)),(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) - (((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) + (- (((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))),(- (((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),g2) |^ 3)) + ((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) - (((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),g2) |^ 3)),((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) - (((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * (O * (p,(p,z),(p,z),g2))) * (((p,z) * ((p,(p,z),(p,z),g2) |^ 3)) + ((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) - (((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * (O * (p,(p,z),(p,z),g2))),(((p,z) * ((p,(p,z),(p,z),g2) |^ 3)) + ((((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2))) - (((p,(p,z),(p,z),g2) |^ 3) + (((p,z) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) |^ 2)))))) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),g2) |^ 3)) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),g2) |^ 3)),(0. (GF p))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * (O * (p,(p,z),(p,z),g2))) * (((p,z) * ((p,(p,z),(p,z),g2) |^ 3)) + (0. (GF p))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * (O * (p,(p,z),(p,z),g2))),(((p,z) * ((p,(p,z),(p,z),g2) |^ 3)) + (0. (GF p)))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * (O * (p,(p,z),(p,z),g2))) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * (O * (p,(p,z),(p,z),g2))),((p,z) * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
(R * (g3 `3_3)) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (g3 `3_3)),O) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((R * (g3 `3_3)) * O) * (p,(p,z),(p,z),g2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (g3 `3_3)) * O) * (p,(p,z),(p,z),g2)),((p,z) * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,z) * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * O) * ((p,(p,z),(p,z),g2) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * O),((p,(p,z),(p,z),g2) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 3)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),(2 + 1)) is set
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) |^ (2 + 1))) is Element of the carrier of (GF p)
(p,z) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ (2 + 1))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ (2 + 1)))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * O) * ((p,z) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ (2 + 1)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * O),((p,z) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ (2 + 1))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(p,z) * ((p,(p,z),(p,z),g2) * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),g2) * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * O) * ((p,z) * ((p,(p,z),(p,z),g2) * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * O),((p,z) * ((p,(p,z),(p,z),g2) * (((p,(p,z),(p,z),g2) |^ 2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((R * (g3 `3_3)) * O) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (g3 `3_3)) * O),(p,z)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(((R * (g3 `3_3)) * O) * (p,z)) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (g3 `3_3)) * O) * (p,z)),((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
O * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(((R * (g3 `3_3)) * O) * (p,z)) * (O * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (g3 `3_3)) * O) * (p,z)),(O * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(g3 `3_3) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),O) is Element of the carrier of (GF p)
R * ((g3 `3_3) * O) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((g3 `3_3) * O)) is Element of the carrier of (GF p)
(R * ((g3 `3_3) * O)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * ((g3 `3_3) * O)),(p,z)) is Element of the carrier of (GF p)
((R * ((g3 `3_3) * O)) * (p,z)) * (O * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * ((g3 `3_3) * O)) * (p,z)),(O * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
((g3 `3_3) * O) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) * O),(p,z)) is Element of the carrier of (GF p)
R * (((g3 `3_3) * O) * (p,z)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((g3 `3_3) * O) * (p,z))) is Element of the carrier of (GF p)
(R * (((g3 `3_3) * O) * (p,z))) * (O * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (((g3 `3_3) * O) * (p,z))),(O * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(((g3 `3_3) * O) * (p,z)) * (O * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((g3 `3_3) * O) * (p,z)),(O * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
R * ((((g3 `3_3) * O) * (p,z)) * (O * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((((g3 `3_3) * O) * (p,z)) * (O * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
(((g3 `3_3) * O) * (p,z)) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((((g3 `3_3) * O) * (p,z)),O) is Element of the carrier of (GF p)
((((g3 `3_3) * O) * (p,z)) * O) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((g3 `3_3) * O) * (p,z)) * O),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
R * (((((g3 `3_3) * O) * (p,z)) * O) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((((g3 `3_3) * O) * (p,z)) * O) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(g3 `3_3) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(p,z)) is Element of the carrier of (GF p)
O * ((g3 `3_3) * (p,z)) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((g3 `3_3) * (p,z))) is Element of the carrier of (GF p)
O * (O * ((g3 `3_3) * (p,z))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(O * ((g3 `3_3) * (p,z)))) is Element of the carrier of (GF p)
(O * (O * ((g3 `3_3) * (p,z)))) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O * (O * ((g3 `3_3) * (p,z)))),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
R * ((O * (O * ((g3 `3_3) * (p,z)))) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((O * (O * ((g3 `3_3) * (p,z)))) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
O * O is Element of the carrier of (GF p)
the multF of (GF p) . (O,O) is Element of the carrier of (GF p)
(O * O) * ((g3 `3_3) * (p,z)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O * O),((g3 `3_3) * (p,z))) is Element of the carrier of (GF p)
((O * O) * ((g3 `3_3) * (p,z))) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((O * O) * ((g3 `3_3) * (p,z))),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
R * (((O * O) * ((g3 `3_3) * (p,z))) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((O * O) * ((g3 `3_3) * (p,z))) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(O |^ 2) * ((p,z) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((p,z) * (g3 `3_3))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,z) * (g3 `3_3))) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,z) * (g3 `3_3))),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
R * (((O |^ 2) * ((p,z) * (g3 `3_3))) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((O |^ 2) * ((p,z) * (g3 `3_3))) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
((p,z) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (g3 `3_3)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(O |^ 2) * (((p,z) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((p,z) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
R * ((O |^ 2) * (((p,z) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((O |^ 2) * (((p,z) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * ((p,z) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),((p,z) * (g3 `3_3))) is Element of the carrier of (GF p)
(R * (O |^ 2)) * (((p,(p,z),(p,z),g2) |^ 2) * ((p,z) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),(((p,(p,z),(p,z),g2) |^ 2) * ((p,z) * (g3 `3_3)))) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
2 mod p is V11() V12() integer ext-real set
3 mod p is V11() V12() integer ext-real set
4 mod p is V11() V12() integer ext-real set
8 mod p is V11() V12() integer ext-real set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
O is Element of the carrier of (GF p)
O is Element of the carrier of (GF p)
P is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
O |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (O,2) is set
o2 * P is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (o2,P) is Element of the carrier of (GF p)
(O |^ 2) - (o2 * P) is Element of the carrier of (GF p)
- (o2 * P) is Element of the carrier of (GF p)
(O |^ 2) + (- (o2 * P)) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . ((O |^ 2),(- (o2 * P))) is Element of the carrier of (GF p)
F * Q is Element of the carrier of (GF p)
the multF of (GF p) . (F,Q) is Element of the carrier of (GF p)
(F * Q) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),O) is Element of the carrier of (GF p)
R * P is Element of the carrier of (GF p)
the multF of (GF p) . (R,P) is Element of the carrier of (GF p)
(R * P) - Q is Element of the carrier of (GF p)
- Q is Element of the carrier of (GF p)
(R * P) + (- Q) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * P),(- Q)) is Element of the carrier of (GF p)
O * ((R * P) - Q) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((R * P) - Q)) is Element of the carrier of (GF p)
O |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (O,2) is set
O |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (O,3) is set
o2 * (O |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(O |^ 3)) is Element of the carrier of (GF p)
F * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(O |^ 2)) is Element of the carrier of (GF p)
F * O is Element of the carrier of (GF p)
the multF of (GF p) . (F,O) is Element of the carrier of (GF p)
g2 is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
(p,z) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
Q * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) + (Q * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),g2) |^ 2)),(Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
o2 * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * ((p,(p,z),(p,z),g2) |^ 2)),(O |^ 2)) is Element of the carrier of (GF p)
(O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
(O * ((R * P) - Q)) + (- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * ((R * P) - Q)),(- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is Element of the carrier of (GF p)
[((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))),(o2 * (O |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is V29() set
K23(K23(((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))),(o2 * (O |^ 3))) is V29() set
(F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
O * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(F * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
O * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
- (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) + (- (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(- (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
R * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
g3 is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
g3 `3_3 is Element of the carrier of (GF p)
(p,z) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(g3 `3_3)) is Element of the carrier of (GF p)
((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((p,z) * (g3 `3_3))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(g3 `3_3)) is Element of the carrier of (GF p)
((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)),(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
g3 `1_3 is Element of the carrier of (GF p)
g3 `1 is set
(g3 `1) `1 is set
((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)),(g3 `1_3)) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * ((p,(p,z),(p,z),g2) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)),((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))),((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) is Element of the carrier of (GF p)
2 * 4 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(2 * 4) mod p is V11() V12() integer ext-real set
F * R is Element of the carrier of (GF p)
the multF of (GF p) . (F,R) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * P is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),P) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))),O) is Element of the carrier of (GF p)
O * O is Element of the carrier of (GF p)
the multF of (GF p) . (O,O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (O * O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O * O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O |^ 2)) is Element of the carrier of (GF p)
((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(p,z)) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z)),(g3 `3_3)) is Element of the carrier of (GF p)
(F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(g3 `3_3) * ((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(g3 `3_3) * ((O * (p,(p,z),(p,z),g2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((O * (p,(p,z),(p,z),g2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
O * ((p,(p,z),(p,z),g2) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((p,(p,z),(p,z),g2) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (O * ((p,(p,z),(p,z),g2) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(O * ((p,(p,z),(p,z),g2) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((F * O) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((F * O) * (p,(p,z),(p,z),g2))) - ((p,(p,z),(p,z),g2) * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),g2) * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((F * O) * (p,(p,z),(p,z),g2))) + (- ((p,(p,z),(p,z),g2) * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * ((F * O) * (p,(p,z),(p,z),g2))),(- ((p,(p,z),(p,z),g2) * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
O * (((p,(p,z),(p,z),g2) * ((F * O) * (p,(p,z),(p,z),g2))) - ((p,(p,z),(p,z),g2) * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(((p,(p,z),(p,z),g2) * ((F * O) * (p,(p,z),(p,z),g2))) - ((p,(p,z),(p,z),g2) * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (O * (((p,(p,z),(p,z),g2) * ((F * O) * (p,(p,z),(p,z),g2))) - ((p,(p,z),(p,z),g2) * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(O * (((p,(p,z),(p,z),g2) * ((F * O) * (p,(p,z),(p,z),g2))) - ((p,(p,z),(p,z),g2) * (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (F * O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(F * O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (F * O)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) * (F * O))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),O) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (F * O))) - (((p,(p,z),(p,z),g2) * O) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),g2) * O) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (F * O))) + (- (((p,(p,z),(p,z),g2) * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (F * O))),(- (((p,(p,z),(p,z),g2) * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
O * (((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (F * O))) - (((p,(p,z),(p,z),g2) * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (F * O))) - (((p,(p,z),(p,z),g2) * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(g3 `3_3) * (O * (((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (F * O))) - (((p,(p,z),(p,z),g2) * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(O * (((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (F * O))) - (((p,(p,z),(p,z),g2) * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),(F * O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)) - ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)) + (- ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)),(- ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O)))) is Element of the carrier of (GF p)
O * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)) - ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)) - ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O)))) is Element of the carrier of (GF p)
(g3 `3_3) * (O * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)) - ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(O * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)) - ((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * O))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),(F * O)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),O) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)) - (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)) + (- (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)),(- (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O))) is Element of the carrier of (GF p)
O * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)) - (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O)) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)) - (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O))) is Element of the carrier of (GF p)
(g3 `3_3) * (O * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)) - (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(O * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (F * O)) - (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O)))) is Element of the carrier of (GF p)
F * (O * O) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(O * O)) is Element of the carrier of (GF p)
O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(F * (O * O)) - (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(F * (O * O)) + (- (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * (O * O)),(- (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
O * ((F * (O * O)) - (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((F * (O * O)) - (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (O * ((F * (O * O)) - (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(O * ((F * (O * O)) - (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(F * (O |^ 2)) - (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(F * (O |^ 2)) + (- (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((F * (O |^ 2)),(- (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
O * ((F * (O |^ 2)) - (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((F * (O |^ 2)) - (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (O * ((F * (O |^ 2)) - (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(O * ((F * (O |^ 2)) - (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
O * (F * (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(F * (O |^ 2))) is Element of the carrier of (GF p)
O * (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(O * (F * (O |^ 2))) - (O * (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
- (O * (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(O * (F * (O |^ 2))) + (- (O * (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * (F * (O |^ 2))),(- (O * (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(g3 `3_3) * ((O * (F * (O |^ 2))) - (O * (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((O * (F * (O |^ 2))) - (O * (O * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
O * O is Element of the carrier of (GF p)
the multF of (GF p) . (O,O) is Element of the carrier of (GF p)
(O * O) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O * O),((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(O * (F * (O |^ 2))) - ((O * O) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- ((O * O) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(O * (F * (O |^ 2))) + (- ((O * O) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * (F * (O |^ 2))),(- ((O * O) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(g3 `3_3) * ((O * (F * (O |^ 2))) - ((O * O) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((O * (F * (O |^ 2))) - ((O * O) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(F * (O |^ 2)) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),O) is Element of the carrier of (GF p)
(O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * O) - ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * O) + (- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * O),(- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (((F * (O |^ 2)) * O) - ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((F * (O |^ 2)) * O) - ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(O |^ 2) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(O |^ 2) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
((O |^ 2) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) + ((O |^ 2) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))),((O |^ 2) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(O |^ 2) * (F * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(F * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * (F * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * (F * ((p,(p,z),(p,z),g2) |^ 2))),(g3 `3_3)) is Element of the carrier of (GF p)
((O |^ 2) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) + (((O |^ 2) * (F * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))),(((O |^ 2) * (F * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `3_3))) is Element of the carrier of (GF p)
(g3 `1_3) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `1_3),((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(O |^ 2) * ((g3 `1_3) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((g3 `1_3) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(O |^ 2) * F is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),F) is Element of the carrier of (GF p)
((O |^ 2) * F) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * F),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(((O |^ 2) * F) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
((O |^ 2) * ((g3 `1_3) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))) + ((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * ((g3 `1_3) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))),((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(O |^ 2) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(g3 `1_3)) is Element of the carrier of (GF p)
((O |^ 2) * (g3 `1_3)) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * (g3 `1_3)),((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(g3 `3_3) * (((O |^ 2) * F) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((O |^ 2) * F) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(((O |^ 2) * (g3 `1_3)) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((g3 `3_3) * (((O |^ 2) * F) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * (g3 `1_3)) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))),((g3 `3_3) * (((O |^ 2) * F) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
(O |^ 2) * ((F * Q) * O) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((F * Q) * O)) is Element of the carrier of (GF p)
((O |^ 2) * ((F * Q) * O)) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((F * Q) * O)),((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((O |^ 2) * ((F * Q) * O)) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((g3 `3_3) * (((O |^ 2) * F) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((F * Q) * O)) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))),((g3 `3_3) * (((O |^ 2) * F) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
O * (F * Q) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(F * Q)) is Element of the carrier of (GF p)
(O |^ 2) * (O * (F * Q)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(O * (F * Q))) is Element of the carrier of (GF p)
((O |^ 2) * (O * (F * Q))) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * (O * (F * Q))),((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
(((O |^ 2) * (O * (F * Q))) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * (O * (F * Q))) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))),((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(O |^ 2) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),O) is Element of the carrier of (GF p)
((O |^ 2) * O) * (F * Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * O),(F * Q)) is Element of the carrier of (GF p)
(((O |^ 2) * O) * (F * Q)) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * O) * (F * Q)),((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((((O |^ 2) * O) * (F * Q)) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * O) * (F * Q)) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))),((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
O |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . (O,(2 + 1)) is set
(O |^ (2 + 1)) * (F * Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ (2 + 1)),(F * Q)) is Element of the carrier of (GF p)
((O |^ (2 + 1)) * (F * Q)) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ (2 + 1)) * (F * Q)),((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((O |^ (2 + 1)) * (F * Q)) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ (2 + 1)) * (F * Q)) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))),((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(F * Q) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(O |^ 3) * ((F * Q) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 3),((F * Q) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((O |^ 3) * ((F * Q) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))) + ((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 3) * ((F * Q) * ((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))),((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
R * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(F * Q) * (R * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),(R * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(O |^ 3) * ((F * Q) * (R * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 3),((F * Q) * (R * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((O |^ 3) * ((F * Q) * (R * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) + ((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 3) * ((F * Q) * (R * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))),((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(F * Q) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),R) is Element of the carrier of (GF p)
((F * Q) * R) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * Q) * R),((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(O |^ 3) * (((F * Q) * R) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 3),(((F * Q) * R) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((O |^ 3) * (((F * Q) * R) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 3) * (((F * Q) * R) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))),((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(F * R) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((F * R),Q) is Element of the carrier of (GF p)
((F * R) * Q) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * R) * Q),((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(O |^ 3) * (((F * R) * Q) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 3),(((F * R) * Q) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((O |^ 3) * (((F * R) * Q) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 3) * (((F * R) * Q) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))),((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
o2 * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(O |^ 3) * (o2 * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 3),(o2 * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((O |^ 3) * (o2 * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) + ((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 3) * (o2 * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))),((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(O |^ 3) * o2 is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 3),o2) is Element of the carrier of (GF p)
((O |^ 3) * o2) * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 3) * o2),(Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(((O |^ 3) * o2) * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 3) * o2) * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))),((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((g3 `3_3) * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((g3 `3_3) * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))),((g3 `3_3) * (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * Q is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),Q) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * Q) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * Q),(F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
(g3 `3_3) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * Q) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * Q) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * Q is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) * Q)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * Q)) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * Q)),(F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
(g3 `3_3) * (((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * Q)) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * Q)) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
3 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(p,(p,z),(p,z),g2) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(O |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (o2 * P) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(o2 * P)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) - ((p,(p,z),(p,z),g2) * (o2 * P)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),g2) * (o2 * P)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) + (- ((p,(p,z),(p,z),g2) * (o2 * P))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (O |^ 2)),(- ((p,(p,z),(p,z),g2) * (o2 * P)))) is Element of the carrier of (GF p)
o2 * ((p,(p,z),(p,z),g2) * P) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((p,(p,z),(p,z),g2) * P)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) - (o2 * ((p,(p,z),(p,z),g2) * P)) is Element of the carrier of (GF p)
- (o2 * ((p,(p,z),(p,z),g2) * P)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) + (- (o2 * ((p,(p,z),(p,z),g2) * P))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (O |^ 2)),(- (o2 * ((p,(p,z),(p,z),g2) * P)))) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),g2) * (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),g2) * (O |^ 2))) is Element of the carrier of (GF p)
R * (F * ((p,(p,z),(p,z),g2) * (O |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(F * ((p,(p,z),(p,z),g2) * (O |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) - (R * (F * ((p,(p,z),(p,z),g2) * (O |^ 2)))) is Element of the carrier of (GF p)
- (R * (F * ((p,(p,z),(p,z),g2) * (O |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) + (- (R * (F * ((p,(p,z),(p,z),g2) * (O |^ 2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (O |^ 2)),(- (R * (F * ((p,(p,z),(p,z),g2) * (O |^ 2)))))) is Element of the carrier of (GF p)
Q * (F * ((p,(p,z),(p,z),g2) * (O |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(F * ((p,(p,z),(p,z),g2) * (O |^ 2)))) is Element of the carrier of (GF p)
(Q * (F * ((p,(p,z),(p,z),g2) * (O |^ 2)))) + (F * ((p,(p,z),(p,z),g2) * (O |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * (F * ((p,(p,z),(p,z),g2) * (O |^ 2)))),(F * ((p,(p,z),(p,z),g2) * (O |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) - ((Q * (F * ((p,(p,z),(p,z),g2) * (O |^ 2)))) + (F * ((p,(p,z),(p,z),g2) * (O |^ 2)))) is Element of the carrier of (GF p)
- ((Q * (F * ((p,(p,z),(p,z),g2) * (O |^ 2)))) + (F * ((p,(p,z),(p,z),g2) * (O |^ 2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) + (- ((Q * (F * ((p,(p,z),(p,z),g2) * (O |^ 2)))) + (F * ((p,(p,z),(p,z),g2) * (O |^ 2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (O |^ 2)),(- ((Q * (F * ((p,(p,z),(p,z),g2) * (O |^ 2)))) + (F * ((p,(p,z),(p,z),g2) * (O |^ 2)))))) is Element of the carrier of (GF p)
(F * (O |^ 2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
Q * ((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((F * (O |^ 2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(O |^ 2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
F * ((O |^ 2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((O |^ 2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(Q * ((F * (O |^ 2)) * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * ((F * (O |^ 2)) * (p,(p,z),(p,z),g2))),(F * ((O |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) - ((Q * ((F * (O |^ 2)) * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
- ((Q * ((F * (O |^ 2)) * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) + (- ((Q * ((F * (O |^ 2)) * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (O |^ 2)),(- ((Q * ((F * (O |^ 2)) * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
Q * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),(Q * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))),(F * ((O |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) - (((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
- (((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (O |^ 2)) + (- (((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (O |^ 2)),(- (((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (O |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((p,(p,z),(p,z),g2) * (O |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (O |^ 2))) - ((p,(p,z),(p,z),g2) * (((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),g2) * (((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (O |^ 2))) + (- ((p,(p,z),(p,z),g2) * (((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * ((p,(p,z),(p,z),g2) * (O |^ 2))),(- ((p,(p,z),(p,z),g2) * (((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2))))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),(O |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) - ((p,(p,z),(p,z),g2) * (((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) + (- ((p,(p,z),(p,z),g2) * (((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)),(- ((p,(p,z),(p,z),g2) * (((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) + (F * ((O |^ 2) * (p,(p,z),(p,z),g2))))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * ((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (F * ((O |^ 2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(F * ((O |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * ((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2)))) + ((p,(p,z),(p,z),g2) * (F * ((O |^ 2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * ((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2)))),((p,(p,z),(p,z),g2) * (F * ((O |^ 2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) - (((p,(p,z),(p,z),g2) * ((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2)))) + ((p,(p,z),(p,z),g2) * (F * ((O |^ 2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),g2) * ((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2)))) + ((p,(p,z),(p,z),g2) * (F * ((O |^ 2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) + (- (((p,(p,z),(p,z),g2) * ((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2)))) + ((p,(p,z),(p,z),g2) * (F * ((O |^ 2) * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)),(- (((p,(p,z),(p,z),g2) * ((F * (O |^ 2)) * (Q * (p,(p,z),(p,z),g2)))) + ((p,(p,z),(p,z),g2) * (F * ((O |^ 2) * (p,(p,z),(p,z),g2))))))) is Element of the carrier of (GF p)
(Q * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(F * (O |^ 2)) * ((Q * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),((Q * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((F * (O |^ 2)) * ((Q * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * ((Q * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))),((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) - (((F * (O |^ 2)) * ((Q * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- (((F * (O |^ 2)) * ((Q * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) + (- (((F * (O |^ 2)) * ((Q * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)),(- (((F * (O |^ 2)) * ((Q * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),(Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))),((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) - (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) + (- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)),(- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),(Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))),((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) - (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) + (- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)),(- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + ((F * ((O |^ 2) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
F * (((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * (((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))),(F * (((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) - (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * (((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * (((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) + (- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * (((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)),(- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * (((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
F * ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))),(F * ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) - (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)) + (- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (O |^ 2)),(- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))))))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))),(F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) + (- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))),(- (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
- ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) + (- ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))),(- ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) - (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
- (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) + (- (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))),(- (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(- (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))),(F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) + ((- (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))),((- (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) + (F * ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))),(0. (GF p))) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * O) - ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * (O |^ 2)) * O) - ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))),(((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(g3 `3_3) * ((((F * (O |^ 2)) * O) - ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((((F * (O |^ 2)) * O) - ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))))) is Element of the carrier of (GF p)
(- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))),(((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * O) + ((- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * O),((- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))))) is Element of the carrier of (GF p)
(g3 `3_3) * (((F * (O |^ 2)) * O) + ((- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((F * (O |^ 2)) * O) + ((- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))))) is Element of the carrier of (GF p)
(- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))),((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
((- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + (- ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))),(- ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * O) + (((- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * O),(((- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (((F * (O |^ 2)) * O) + (((- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((F * (O |^ 2)) * O) + (((- ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))))) is Element of the carrier of (GF p)
(0. (GF p)) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(0. (GF p)) + (- ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),(- ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * O) + ((0. (GF p)) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * O),((0. (GF p)) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (((F * (O |^ 2)) * O) + ((0. (GF p)) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((F * (O |^ 2)) * O) + ((0. (GF p)) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * O) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * O) + (- ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * O),(- ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (((F * (O |^ 2)) * O) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((F * (O |^ 2)) * O) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) + ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))),((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) + ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) + ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) + (- ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) + ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))),(- ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(g3 `3_3) * ((((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) + ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) + ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) + (- ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))),(- ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) + (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))),(((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(g3 `3_3) * (((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) + (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) + (((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2))) - ((F * (O |^ 2)) * (Q * ((p,(p,z),(p,z),g2) |^ 2)))))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))),(0. (GF p))) is Element of the carrier of (GF p)
(g3 `3_3) * (((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) + (0. (GF p))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((F * (O |^ 2)) * ((p,z) * ((p,(p,z),(p,z),g2) |^ 2))) + (0. (GF p)))) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
2 mod p is V11() V12() integer ext-real set
3 mod p is V11() V12() integer ext-real set
4 mod p is V11() V12() integer ext-real set
8 mod p is V11() V12() integer ext-real set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
F is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
o2 is Element of the carrier of (GF p)
O is Element of the carrier of (GF p)
O is Element of the carrier of (GF p)
P is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
O |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (O,2) is set
o2 * P is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . (o2,P) is Element of the carrier of (GF p)
(O |^ 2) - (o2 * P) is Element of the carrier of (GF p)
- (o2 * P) is Element of the carrier of (GF p)
(O |^ 2) + (- (o2 * P)) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . ((O |^ 2),(- (o2 * P))) is Element of the carrier of (GF p)
F * Q is Element of the carrier of (GF p)
the multF of (GF p) . (F,Q) is Element of the carrier of (GF p)
(F * Q) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((F * Q),O) is Element of the carrier of (GF p)
R * P is Element of the carrier of (GF p)
the multF of (GF p) . (R,P) is Element of the carrier of (GF p)
(R * P) - Q is Element of the carrier of (GF p)
- Q is Element of the carrier of (GF p)
(R * P) + (- Q) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * P),(- Q)) is Element of the carrier of (GF p)
O * ((R * P) - Q) is Element of the carrier of (GF p)
the multF of (GF p) . (O,((R * P) - Q)) is Element of the carrier of (GF p)
O |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (O,2) is set
O |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (O,3) is set
o2 * (O |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(O |^ 3)) is Element of the carrier of (GF p)
R * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(O |^ 2)) is Element of the carrier of (GF p)
g2 is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
(p,z) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
Q * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),g2) |^ 2)) + (Q * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),g2) |^ 2)),(Q * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),g2),2) is set
o2 * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * ((p,(p,z),(p,z),g2) |^ 2)),(O |^ 2)) is Element of the carrier of (GF p)
(O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)) is Element of the carrier of (GF p)
(O * ((R * P) - Q)) + (- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * ((R * P) - Q)),(- ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is Element of the carrier of (GF p)
[((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2))),(o2 * (O |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))) is V29() set
K23(K23(((F * Q) * O),((O * ((R * P) - Q)) - ((o2 * ((p,(p,z),(p,z),g2) |^ 2)) * (O |^ 2)))),(o2 * (O |^ 3))) is V29() set
(R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
g3 is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
g3 `2_3 is Element of the carrier of (GF p)
g3 `1 is set
(g3 `1) `2 is set
(g3 `2_3) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((g3 `2_3),2) is set
g3 `3_3 is Element of the carrier of (GF p)
((g3 `2_3) |^ 2) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `2_3) |^ 2),(g3 `3_3)) is Element of the carrier of (GF p)
g3 `1_3 is Element of the carrier of (GF p)
(g3 `1) `1 is set
(g3 `1_3) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((g3 `1_3),3) is set
(p,z) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(g3 `1_3)) is Element of the carrier of (GF p)
(g3 `3_3) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((g3 `3_3),2) is set
((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (g3 `1_3)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((g3 `1_3) |^ 3),(((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(g3 `3_3) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((g3 `3_3),3) is set
(p,z) * ((g3 `3_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
(((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((p,z) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((p,z) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((g3 `2_3) |^ 2) * (g3 `3_3)) - ((((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((p,z) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
- ((((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((p,z) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((g3 `2_3) |^ 2) * (g3 `3_3)) + (- ((((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((g3 `2_3) |^ 2) * (g3 `3_3)),(- ((((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((p,z) * ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((g3 `2_3) |^ 2) * (g3 `3_3)) - ((((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((((g3 `2_3) |^ 2) * (g3 `3_3)) - ((((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((p,z) * ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
2 * 2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(2 * 2) mod p is V11() V12() integer ext-real set
F * F is Element of the carrier of (GF p)
the multF of (GF p) . (F,F) is Element of the carrier of (GF p)
F |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (F,2) is set
2 * 4 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(2 * 4) mod p is V11() V12() integer ext-real set
F * R is Element of the carrier of (GF p)
the multF of (GF p) . (F,R) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(((g3 `2_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
(F |^ 2) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F |^ 2),(O |^ 2)) is Element of the carrier of (GF p)
((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F |^ 2) * (O |^ 2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `2_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((g3 `2_3) |^ 2)) is Element of the carrier of (GF p)
((((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `2_3) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `2_3) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
F * O is Element of the carrier of (GF p)
the multF of (GF p) . (F,O) is Element of the carrier of (GF p)
(F * O) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((F * O),2) is set
((F * O) |^ 2) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) |^ 2),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(((F * O) |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `2_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * O) |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)),((g3 `2_3) |^ 2)) is Element of the carrier of (GF p)
((((F * O) |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `2_3) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * O) |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `2_3) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(F * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) * (g3 `2_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(g3 `2_3)) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) * (g3 `2_3)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `2_3)),2) is set
((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `2_3)) |^ 2) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `2_3)) |^ 2),(g3 `3_3)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(g3 `1_3)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(g3 `3_3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) + (- ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (g3 `1_3)),(- ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(F * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(g3 `3_3)) is Element of the carrier of (GF p)
(O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))),(((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(- ((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((- ((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))),2) is set
((- ((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) |^ 2) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((- ((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) |^ 2),(g3 `3_3)) is Element of the carrier of (GF p)
((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))),2) is set
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) |^ 2) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) |^ 2),(g3 `3_3)) is Element of the carrier of (GF p)
(O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))),2) is set
F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2),((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)),2) is set
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))),((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2)) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
O * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(g3 `3_3)) is Element of the carrier of (GF p)
F * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (F * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(F * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (F * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2),((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (F * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))))) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (F * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))))) + ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (F * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))))),((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2)) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (F * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))))) + ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (F * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))))) + ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * F is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))),F) is Element of the carrier of (GF p)
((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * F) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * F),((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * F) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2),(((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * F) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * F) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * F) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))),((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2)) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * F) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((F * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * F) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(F * F) * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * F),(O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
((F * F) * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * F) * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))),((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((F * F) * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2),(((F * F) * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((F * F) * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((F * F) * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))),((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2)) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((F * F) * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((F * F) * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))),((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2),((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(g3 `3_3)) is Element of the carrier of (GF p)
(F * O) * ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
((F * O) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((F * O) * ((p,(p,z),(p,z),g2) * (g3 `3_3))),2) is set
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + (((F * O) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))),(((F * O) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + (((F * O) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + (((F * O) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),g2) * (g3 `3_3)),2) is set
((F |^ 2) * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F |^ 2) * (O |^ 2)),(((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2)) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + (((F |^ 2) * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))),(((F |^ 2) * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2))) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + (((F |^ 2) * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + (((F |^ 2) * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2))),(g3 `3_3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(R * (O |^ 2)) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),(((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((R * (O |^ 2)) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))),((R * (O |^ 2)) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((R * (O |^ 2)) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + ((R * (O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((R * (O |^ 2)) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))),(g3 `3_3)) is Element of the carrier of (GF p)
R * O is Element of the carrier of (GF p)
the multF of (GF p) . (R,O) is Element of the carrier of (GF p)
(R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * O),(((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))),((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2),(((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((R * (O |^ 2)) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))),((R * (O |^ 2)) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((R * (O |^ 2)) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + ((R * (O |^ 2)) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))),(g3 `3_3)) is Element of the carrier of (GF p)
(R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))),(g3 `3_3)) is Element of the carrier of (GF p)
((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))),O) is Element of the carrier of (GF p)
(((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * O) * (p,(p,z),(p,z),g2)),(g3 `3_3)) is Element of the carrier of (GF p)
((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2),(((((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((((R * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))),(g3 `3_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))),O) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(R * O) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * O),(((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((R * O) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * O) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2))),(g3 `3_3)) is Element of the carrier of (GF p)
((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2))) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2),(((R * O) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2))) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2))) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2))) * (g3 `3_3))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2))) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2))) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))),(g3 `3_3)) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(R * O) * ((O * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * O),((O * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
((R * O) * ((O * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * O) * ((O * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(g3 `3_3)) is Element of the carrier of (GF p)
((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * ((O * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2),(((R * O) * ((O * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * ((O * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * ((O * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * ((O * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((R * O) * ((O * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))),(g3 `3_3)) is Element of the carrier of (GF p)
(R * O) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((R * O),O) is Element of the carrier of (GF p)
((R * O) * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * O) * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * O) * O) * (p,(p,z),(p,z),g2)),(((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))),(g3 `3_3)) is Element of the carrier of (GF p)
((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2),(((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))),(g3 `3_3)) is Element of the carrier of (GF p)
((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2),(g3 `3_3)) is Element of the carrier of (GF p)
(((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)),(g3 `3_3)) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)) * (g3 `3_3))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)) * (g3 `3_3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)) * (g3 `3_3))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(g3 `3_3) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(g3 `3_3)) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))),((g3 `3_3) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)),(((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) * (g3 `3_3)))) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) * (g3 `3_3)))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) * (g3 `3_3)))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
((g3 `3_3) |^ 2) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) |^ 2),(g3 `3_3)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `3_3) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(((g3 `3_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) * (g3 `3_3)))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `3_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) * (g3 `3_3)))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `3_3) |^ 2) * (g3 `3_3)))) is Element of the carrier of (GF p)
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(g3 `3_3) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((g3 `3_3),(2 + 1)) is set
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((g3 `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) * (g3 `3_3)))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) * (g3 `3_3)))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ (2 + 1)))) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)),(((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) |^ 2))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * ((g3 `3_3) |^ 2))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * O) * O) * (p,(p,z),(p,z),g2)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)),(((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)),(((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) |^ 2) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))),2) is set
(O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) is Element of the carrier of (GF p)
((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)),(((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)),((p,(p,z),(p,z),g2) * (g3 `1_3))) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)),((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) + (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))),(- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)),(((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) + (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))),(- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((R * O) * O) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * O) * O) * (p,(p,z),(p,z),g2)),((p,(p,z),(p,z),g2) * (g3 `1_3))) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)),(((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((g3 `3_3) |^ 2))) + (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((g3 `3_3) |^ 2))),(- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * O) * O) * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)),(g3 `1_3)) is Element of the carrier of (GF p)
(((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (p,(p,z),(p,z),g2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (p,(p,z),(p,z),g2)),(g3 `3_3)) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (p,(p,z),(p,z),g2)) * (g3 `3_3))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * O) * O) * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (((g3 `3_3) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)),(((g3 `3_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (((g3 `3_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (((g3 `3_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (((g3 `3_3) |^ 2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (((g3 `3_3) |^ 2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (((g3 `3_3) |^ 2) * (g3 `3_3)))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (((g3 `3_3) |^ 2) * (g3 `3_3)))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)),((g3 `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ (2 + 1)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ (2 + 1))))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ (2 + 1)))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ (2 + 1)))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((R * O) * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * O) * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * O) * O) * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)),((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(F * F) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * F),(O |^ 2)) is Element of the carrier of (GF p)
((F * F) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * F) * (O |^ 2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(((F * F) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * F) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(g3 `1_3)) is Element of the carrier of (GF p)
((((F * F) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * F) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)),(p,z)) is Element of the carrier of (GF p)
(((((F * F) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * (p,z)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((F * F) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * (p,z)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
- ((((((F * F) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * (p,z)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
F * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(O |^ 2)) is Element of the carrier of (GF p)
(F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
F * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(F * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))),(g3 `1_3)) is Element of the carrier of (GF p)
((F * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `1_3)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `1_3)),(p,z)) is Element of the carrier of (GF p)
(((F * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `1_3)) * (p,z)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `1_3)) * (p,z)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
- ((((F * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `1_3)) * (p,z)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
F * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(g3 `1_3)) is Element of the carrier of (GF p)
(F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (g3 `1_3)),((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))),(p,z)) is Element of the carrier of (GF p)
(((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
- ((((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)) * ((g3 `3_3) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)),((g3 `3_3) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)) * ((g3 `3_3) * (g3 `3_3))) is Element of the carrier of (GF p)
(((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)),(g3 `3_3)) is Element of the carrier of (GF p)
((((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)) * (g3 `3_3)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)) * (g3 `3_3)),(g3 `3_3)) is Element of the carrier of (GF p)
- (((((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)) * (g3 `3_3)) * (g3 `3_3)) is Element of the carrier of (GF p)
((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))),(g3 `3_3)) is Element of the carrier of (GF p)
(((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `3_3)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `3_3)),(p,z)) is Element of the carrier of (GF p)
((((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `3_3)) * (p,z)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `3_3)) * (p,z)),(g3 `3_3)) is Element of the carrier of (GF p)
- (((((F * (g3 `1_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (g3 `3_3)) * (p,z)) * (g3 `3_3)) is Element of the carrier of (GF p)
(F * (g3 `1_3)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (g3 `1_3)),(g3 `3_3)) is Element of the carrier of (GF p)
((F * (g3 `1_3)) * (g3 `3_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (g3 `1_3)) * (g3 `3_3)),((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(((F * (g3 `1_3)) * (g3 `3_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (g3 `1_3)) * (g3 `3_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))),(p,z)) is Element of the carrier of (GF p)
((((F * (g3 `1_3)) * (g3 `3_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * (g3 `1_3)) * (g3 `3_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)),(g3 `3_3)) is Element of the carrier of (GF p)
- (((((F * (g3 `1_3)) * (g3 `3_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * (p,z)) * (g3 `3_3)) is Element of the carrier of (GF p)
(p,z) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(g3 `3_3)) is Element of the carrier of (GF p)
(((F * (g3 `1_3)) * (g3 `3_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * ((p,z) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (g3 `1_3)) * (g3 `3_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))),((p,z) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((((F * (g3 `1_3)) * (g3 `3_3)) * ((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2))) * ((p,z) * (g3 `3_3))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((p,z) * (g3 `3_3))) is Element of the carrier of (GF p)
((F * (g3 `1_3)) * (g3 `3_3)) * (((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (g3 `1_3)) * (g3 `3_3)),(((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * (g3 `3_3)))) is Element of the carrier of (GF p)
- (((F * (g3 `1_3)) * (g3 `3_3)) * (((F * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * (g3 `3_3)))) is Element of the carrier of (GF p)
O * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((O * (p,(p,z),(p,z),g2)),(g3 `3_3)) is Element of the carrier of (GF p)
O * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (O,(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
- (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) + (- (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(- (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)),(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
R * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)),(g3 `1_3)) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * ((p,(p,z),(p,z),g2) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)),((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))),((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) is Element of the carrier of (GF p)
((F * (g3 `1_3)) * (g3 `3_3)) * ((((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (g3 `1_3)) * (g3 `3_3)),((((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))))) is Element of the carrier of (GF p)
- (((F * (g3 `1_3)) * (g3 `3_3)) * ((((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))))) is Element of the carrier of (GF p)
((F * (g3 `1_3)) * (g3 `3_3)) * (((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (g3 `1_3)) * (g3 `3_3)),(((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((F * (g3 `1_3)) * (g3 `3_3)) * ((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (g3 `1_3)) * (g3 `3_3)),((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) is Element of the carrier of (GF p)
(((F * (g3 `1_3)) * (g3 `3_3)) * (((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) + (((F * (g3 `1_3)) * (g3 `3_3)) * ((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * (g3 `1_3)) * (g3 `3_3)) * (((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))),(((F * (g3 `1_3)) * (g3 `3_3)) * ((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))))) is Element of the carrier of (GF p)
- ((((F * (g3 `1_3)) * (g3 `3_3)) * (((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) + (((F * (g3 `1_3)) * (g3 `3_3)) * ((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))))) is Element of the carrier of (GF p)
- (((F * (g3 `1_3)) * (g3 `3_3)) * ((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) is Element of the carrier of (GF p)
(- (((F * (g3 `1_3)) * (g3 `3_3)) * ((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))))) - (((F * (g3 `1_3)) * (g3 `3_3)) * (((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
- (((F * (g3 `1_3)) * (g3 `3_3)) * (((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(- (((F * (g3 `1_3)) * (g3 `3_3)) * ((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))))) + (- (((F * (g3 `1_3)) * (g3 `3_3)) * (((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((F * (g3 `1_3)) * (g3 `3_3)) * ((O |^ 2) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))))),(- (((F * (g3 `1_3)) * (g3 `3_3)) * (((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))))) is Element of the carrier of (GF p)
((F * (g3 `1_3)) * (g3 `3_3)) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (g3 `1_3)) * (g3 `3_3)),(O |^ 2)) is Element of the carrier of (GF p)
(((F * (g3 `1_3)) * (g3 `3_3)) * (O |^ 2)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (g3 `1_3)) * (g3 `3_3)) * (O |^ 2)),((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
- ((((F * (g3 `1_3)) * (g3 `3_3)) * (O |^ 2)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(- ((((F * (g3 `1_3)) * (g3 `3_3)) * (O |^ 2)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) - (((F * (g3 `1_3)) * (g3 `3_3)) * (((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(- ((((F * (g3 `1_3)) * (g3 `3_3)) * (O |^ 2)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) + (- (((F * (g3 `1_3)) * (g3 `3_3)) * (((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (g3 `1_3)) * (g3 `3_3)) * (O |^ 2)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))),(- (((F * (g3 `1_3)) * (g3 `3_3)) * (((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))))) is Element of the carrier of (GF p)
((F * (g3 `1_3)) * (g3 `3_3)) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (g3 `1_3)) * (g3 `3_3)),((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(((F * (g3 `1_3)) * (g3 `3_3)) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (g3 `1_3)) * (g3 `3_3)) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))),(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (g3 `1_3)) * (g3 `3_3)) * (O |^ 2)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) - ((((F * (g3 `1_3)) * (g3 `3_3)) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
- ((((F * (g3 `1_3)) * (g3 `3_3)) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (g3 `1_3)) * (g3 `3_3)) * (O |^ 2)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) + (- ((((F * (g3 `1_3)) * (g3 `3_3)) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (g3 `1_3)) * (g3 `3_3)) * (O |^ 2)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))),(- ((((F * (g3 `1_3)) * (g3 `3_3)) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(F * (g3 `1_3)) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (g3 `1_3)),(O |^ 2)) is Element of the carrier of (GF p)
((F * (g3 `1_3)) * (O |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (g3 `1_3)) * (O |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(((F * (g3 `1_3)) * (O |^ 2)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (g3 `1_3)) * (O |^ 2)) * (g3 `3_3)),((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
- ((((F * (g3 `1_3)) * (O |^ 2)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(- ((((F * (g3 `1_3)) * (O |^ 2)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) - ((((F * (g3 `1_3)) * (g3 `3_3)) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (g3 `1_3)) * (O |^ 2)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) + (- ((((F * (g3 `1_3)) * (g3 `3_3)) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (g3 `1_3)) * (O |^ 2)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))),(- ((((F * (g3 `1_3)) * (g3 `3_3)) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(F * (O |^ 2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),(g3 `1_3)) is Element of the carrier of (GF p)
((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O |^ 2)) * (g3 `1_3)),(g3 `3_3)) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)),((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) - ((((F * (g3 `1_3)) * (g3 `3_3)) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) + (- ((((F * (g3 `1_3)) * (g3 `3_3)) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))),(- ((((F * (g3 `1_3)) * (g3 `3_3)) * ((O * (p,(p,z),(p,z),g2)) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((F * (g3 `1_3)) * (g3 `3_3)) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (g3 `1_3)) * (g3 `3_3)),O) is Element of the carrier of (GF p)
(((F * (g3 `1_3)) * (g3 `3_3)) * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (g3 `1_3)) * (g3 `3_3)) * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((((F * (g3 `1_3)) * (g3 `3_3)) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * (g3 `1_3)) * (g3 `3_3)) * O) * (p,(p,z),(p,z),g2)),(g3 `3_3)) is Element of the carrier of (GF p)
(((((F * (g3 `1_3)) * (g3 `3_3)) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((F * (g3 `1_3)) * (g3 `3_3)) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)),(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) - ((((((F * (g3 `1_3)) * (g3 `3_3)) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
- ((((((F * (g3 `1_3)) * (g3 `3_3)) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) + (- ((((((F * (g3 `1_3)) * (g3 `3_3)) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))),(- ((((((F * (g3 `1_3)) * (g3 `3_3)) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(g3 `1_3) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `1_3),(g3 `3_3)) is Element of the carrier of (GF p)
F * ((g3 `1_3) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((g3 `1_3) * (g3 `3_3))) is Element of the carrier of (GF p)
(F * ((g3 `1_3) * (g3 `3_3))) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((F * ((g3 `1_3) * (g3 `3_3))),O) is Element of the carrier of (GF p)
((F * ((g3 `1_3) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * ((g3 `1_3) * (g3 `3_3))) * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((F * ((g3 `1_3) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * ((g3 `1_3) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2)),(g3 `3_3)) is Element of the carrier of (GF p)
((((F * ((g3 `1_3) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * ((g3 `1_3) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)),(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) - (((((F * ((g3 `1_3) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
- (((((F * ((g3 `1_3) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) + (- (((((F * ((g3 `1_3) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))),(- (((((F * ((g3 `1_3) * (g3 `3_3))) * O) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
F * O is Element of the carrier of (GF p)
the multF of (GF p) . (F,O) is Element of the carrier of (GF p)
(F * O) * ((g3 `1_3) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),((g3 `1_3) * (g3 `3_3))) is Element of the carrier of (GF p)
((F * O) * ((g3 `1_3) * (g3 `3_3))) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * ((g3 `1_3) * (g3 `3_3))),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((F * O) * ((g3 `1_3) * (g3 `3_3))) * (p,(p,z),(p,z),g2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * O) * ((g3 `1_3) * (g3 `3_3))) * (p,(p,z),(p,z),g2)),(g3 `3_3)) is Element of the carrier of (GF p)
((((F * O) * ((g3 `1_3) * (g3 `3_3))) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * O) * ((g3 `1_3) * (g3 `3_3))) * (p,(p,z),(p,z),g2)) * (g3 `3_3)),(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) - (((((F * O) * ((g3 `1_3) * (g3 `3_3))) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
- (((((F * O) * ((g3 `1_3) * (g3 `3_3))) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) + (- (((((F * O) * ((g3 `1_3) * (g3 `3_3))) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))),(- (((((F * O) * ((g3 `1_3) * (g3 `3_3))) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(F * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),((g3 `1_3) * (g3 `3_3))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `3_3))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * O) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `3_3))),(g3 `3_3)) is Element of the carrier of (GF p)
((((F * O) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `3_3))) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * O) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `3_3))) * (g3 `3_3)),(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) - (((((F * O) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `3_3))) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
- (((((F * O) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `3_3))) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `3_3))) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `3_3))) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (p,(p,z),(p,z),g2)),(g3 `1_3)) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)),(g3 `3_3)) is Element of the carrier of (GF p)
((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)),(g3 `3_3)) is Element of the carrier of (GF p)
(((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3)),(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) - ((((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
- ((((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) + (- ((((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))),(- ((((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)),((g3 `3_3) * (g3 `3_3))) is Element of the carrier of (GF p)
((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3))),(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) + ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)),(((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)),((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) + ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))),((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) + ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) + ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) + ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) + ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3))) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) + ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) + ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) + ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) + (- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))),(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * ((F * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),(g3 `3_3)) is Element of the carrier of (GF p)
F * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (F * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)),(F * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) is Element of the carrier of (GF p)
- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (F * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (F * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (F * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) + (- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (F * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))),(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (F * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (F * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (F * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * F is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)),F) is Element of the carrier of (GF p)
((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * F),(((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
(- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) + (- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))),(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),((g3 `1_3) * (g3 `3_3))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * F is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))),F) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * F),(((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) + (- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))),(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * F) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(F * (O |^ 2)) * F is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),F) is Element of the carrier of (GF p)
((F * (O |^ 2)) * F) * ((g3 `1_3) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O |^ 2)) * F),((g3 `1_3) * (g3 `3_3))) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * F) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (O |^ 2)) * F) * ((g3 `1_3) * (g3 `3_3))),(((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((((F * (O |^ 2)) * F) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * F) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((((F * (O |^ 2)) * F) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) + (- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((F * (O |^ 2)) * F) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))),(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- ((((F * (O |^ 2)) * F) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((F * (O |^ 2)) * F) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((F * (O |^ 2)) * F) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `1_3) * (g3 `3_3)),(((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * F) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O |^ 2)) * F),(((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) is Element of the carrier of (GF p)
- (((F * (O |^ 2)) * F) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(- (((F * (O |^ 2)) * F) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- (((F * (O |^ 2)) * F) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) + (- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((F * (O |^ 2)) * F) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))),(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- (((F * (O |^ 2)) * F) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- (((F * (O |^ 2)) * F) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((F * (O |^ 2)) * F) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((F * F) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * F) * (O |^ 2)),(((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) is Element of the carrier of (GF p)
- (((F * F) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(- (((F * F) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- (((F * F) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) + (- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((F * F) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))),(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- (((F * F) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- (((F * F) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((F * F) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) |^ 2) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((g3 `1_3) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `1_3) * (g3 `3_3)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(((g3 `1_3) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((g3 `1_3) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(R * (O |^ 2)) * ((((g3 `1_3) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),((((g3 `1_3) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((R * (O |^ 2)) * ((((g3 `1_3) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(- ((R * (O |^ 2)) * ((((g3 `1_3) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((R * (O |^ 2)) * ((((g3 `1_3) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) + (- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R * (O |^ 2)) * ((((g3 `1_3) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))),(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- ((R * (O |^ 2)) * ((((g3 `1_3) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((R * (O |^ 2)) * ((((g3 `1_3) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((R * (O |^ 2)) * ((((g3 `1_3) * (g3 `3_3)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `1_3),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)),(g3 `3_3)) is Element of the carrier of (GF p)
(R * (O |^ 2)) * ((((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),((((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((R * (O |^ 2)) * ((((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) * (g3 `3_3))) is Element of the carrier of (GF p)
(- ((R * (O |^ 2)) * ((((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((R * (O |^ 2)) * ((((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) * (g3 `3_3)))) + (- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R * (O |^ 2)) * ((((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) * (g3 `3_3)))),(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- ((R * (O |^ 2)) * ((((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((R * (O |^ 2)) * ((((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((R * (O |^ 2)) * ((((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `3_3)) * (g3 `3_3)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)),((g3 `3_3) * (g3 `3_3))) is Element of the carrier of (GF p)
(R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),(((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) * (g3 `3_3)))) is Element of the carrier of (GF p)
- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) * (g3 `3_3)))) is Element of the carrier of (GF p)
(- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) * (g3 `3_3))))) + (- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) * (g3 `3_3))))),(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) * (g3 `3_3))))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),(((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)))) + (- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)))),(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((R * (O |^ 2)) * (((g3 `1_3) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(g3 `1_3)) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (((R * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),(g3 `1_3)) is Element of the carrier of (GF p)
R * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (R * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)),(R * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (R * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (R * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (R * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (R * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (R * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (R * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * (R * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)),R) is Element of the carrier of (GF p)
((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * R),(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * (O |^ 2)) * (g3 `1_3)) * (g3 `3_3)) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * R is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))),R) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * R),(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
- ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * ((g3 `1_3) * (g3 `3_3))) * R) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(F * (O |^ 2)) * R is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),R) is Element of the carrier of (GF p)
((F * (O |^ 2)) * R) * ((g3 `1_3) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O |^ 2)) * R),((g3 `1_3) * (g3 `3_3))) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * R) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (O |^ 2)) * R) * ((g3 `1_3) * (g3 `3_3))),(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * R) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
- ((((F * (O |^ 2)) * R) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((((F * (O |^ 2)) * R) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((((F * (O |^ 2)) * R) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * R) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * R) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((F * (O |^ 2)) * R) * ((g3 `1_3) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `1_3) * (g3 `3_3)),(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * R) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O |^ 2)) * R),(((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((F * (O |^ 2)) * R) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
- (((F * (O |^ 2)) * R) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((F * (O |^ 2)) * R) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((F * (O |^ 2)) * R) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((F * (O |^ 2)) * R) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((F * (O |^ 2)) * R) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((F * (O |^ 2)) * R) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(F * R) * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * R),(O |^ 2)) is Element of the carrier of (GF p)
((F * R) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * R) * (O |^ 2)),(((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((F * R) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
- (((F * R) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((F * R) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((F * R) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((F * R) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((F * R) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((F * R) * (O |^ 2)) * (((g3 `1_3) * (g3 `3_3)) * (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3))))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
o2 * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (o2,(O |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)),(g3 `1_3)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `1_3)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `1_3)),(g3 `3_3)) is Element of the carrier of (GF p)
(o2 * (O |^ 2)) * (((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `1_3)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * (O |^ 2)),(((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `1_3)) * (g3 `3_3))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((o2 * (O |^ 2)) * (((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `1_3)) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((o2 * (O |^ 2)) * (((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `1_3)) * (g3 `3_3))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((o2 * (O |^ 2)) * (((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `1_3)) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((o2 * (O |^ 2)) * (((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `1_3)) * (g3 `3_3))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((o2 * (O |^ 2)) * (((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `1_3)) * (g3 `3_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((o2 * (O |^ 2)) * (((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `1_3)) * (g3 `3_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((o2 * (O |^ 2)) * (((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `1_3)) * (g3 `3_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(g3 `1_3) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `1_3),(g3 `1_3)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),((g3 `1_3) * (g3 `1_3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `1_3))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `1_3))),(g3 `3_3)) is Element of the carrier of (GF p)
(o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `1_3))) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * (O |^ 2)),((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `1_3))) * (g3 `3_3))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `1_3))) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `1_3))) * (g3 `3_3))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `1_3))) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `1_3))) * (g3 `3_3))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `1_3))) * (g3 `3_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `1_3))) * (g3 `3_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) * (g3 `1_3))) * (g3 `3_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(g3 `1_3) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((g3 `1_3),2) is set
((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)),((g3 `1_3) |^ 2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * (O |^ 2)),((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((o2 * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(o2 * (O |^ 2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((o2 * (O |^ 2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)),((g3 `1_3) |^ 2)) is Element of the carrier of (GF p)
((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) - ((((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
- ((((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + (- ((((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),(- ((((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2)))))) is Element of the carrier of (GF p)
(((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + ((((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),((((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * (O * (p,(p,z),(p,z),g2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (g3 `1_3)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),(((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) * (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) * (O * (p,(p,z),(p,z),g2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) * (O * (p,(p,z),(p,z),g2))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) * (O * (p,(p,z),(p,z),g2))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + ((((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) * (O * (p,(p,z),(p,z),g2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),((((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) * (O * (p,(p,z),(p,z),g2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(F * O) * (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((F * O) * (O * (p,(p,z),(p,z),g2))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (O * (p,(p,z),(p,z),g2))),(((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((F * O) * (O * (p,(p,z),(p,z),g2))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((F * O) * (O * (p,(p,z),(p,z),g2))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * O) * (O * (p,(p,z),(p,z),g2))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + ((((F * O) * (O * (p,(p,z),(p,z),g2))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),((((F * O) * (O * (p,(p,z),(p,z),g2))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(F * O) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),O) is Element of the carrier of (GF p)
((F * O) * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((F * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * O) * O) * (p,(p,z),(p,z),g2)),(((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((F * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((((F * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((F * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + (((((F * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),(((((F * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
O * O is Element of the carrier of (GF p)
the multF of (GF p) . (O,O) is Element of the carrier of (GF p)
F * (O * O) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(O * O)) is Element of the carrier of (GF p)
(F * (O * O)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O * O)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((F * (O * O)) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O * O)) * (p,(p,z),(p,z),g2)),(((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((F * (O * O)) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((F * (O * O)) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * (O * O)) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + ((((F * (O * O)) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),((((F * (O * O)) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
F * (O |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (F,(O |^ 2)) is Element of the carrier of (GF p)
(F * (O |^ 2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O |^ 2)) * (p,(p,z),(p,z),g2)),(((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + ((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * (O |^ 2)) * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)),(g3 `1_3)) is Element of the carrier of (GF p)
((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + (- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),(- (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((((F * O) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) * ((F * O) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) * ((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- (((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) * ((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + (- (((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),(- (((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) * ((F * O) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((F * O) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) * ((F * O) * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(F * O) * ((F * O) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((F * O) * ((F * O) * (p,(p,z),(p,z),g2))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * ((F * O) * (p,(p,z),(p,z),g2))),(((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((F * O) * ((F * O) * (p,(p,z),(p,z),g2))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
- (((F * O) * ((F * O) * (p,(p,z),(p,z),g2))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + (- (((F * O) * ((F * O) * (p,(p,z),(p,z),g2))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),(- (((F * O) * ((F * O) * (p,(p,z),(p,z),g2))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((F * O) * ((F * O) * (p,(p,z),(p,z),g2))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((F * O) * ((F * O) * (p,(p,z),(p,z),g2))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))))) is Element of the carrier of (GF p)
(F * O) * F is Element of the carrier of (GF p)
the multF of (GF p) . ((F * O),F) is Element of the carrier of (GF p)
((F * O) * F) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((F * O) * F),O) is Element of the carrier of (GF p)
(((F * O) * F) * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * O) * F) * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((((F * O) * F) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * O) * F) * O) * (p,(p,z),(p,z),g2)),(((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((((F * O) * F) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
- (((((F * O) * F) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + (- (((((F * O) * F) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),(- (((((F * O) * F) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((((F * O) * F) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((((F * O) * F) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))))) is Element of the carrier of (GF p)
(F * F) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((F * F),O) is Element of the carrier of (GF p)
((F * F) * O) * O is Element of the carrier of (GF p)
the multF of (GF p) . (((F * F) * O),O) is Element of the carrier of (GF p)
(((F * F) * O) * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * F) * O) * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((((F * F) * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * F) * O) * O) * (p,(p,z),(p,z),g2)),(((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((((F * F) * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
- (((((F * F) * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + (- (((((F * F) * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),(- (((((F * F) * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((((F * F) * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((((F * F) * O) * O) * (p,(p,z),(p,z),g2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((g3 `3_3) |^ 2))))) is Element of the carrier of (GF p)
(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + (- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),(- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) + ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))),((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
(((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
(((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((p,z) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(p,z)) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z)) * ((g3 `3_3) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z)),((g3 `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z)) * ((g3 `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z)) * (((g3 `3_3) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z)),(((g3 `3_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z)) * (((g3 `3_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z)),(g3 `3_3)) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z)) * (g3 `3_3)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z)) * (g3 `3_3)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
- (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (p,z)) * (g3 `3_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(p,z) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(g3 `3_3)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((p,z) * (g3 `3_3))) is Element of the carrier of (GF p)
((g3 `3_3) |^ 2) * (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) |^ 2),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * (g3 `3_3)))) is Element of the carrier of (GF p)
- (((g3 `3_3) |^ 2) * (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))),2) is set
(g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) is Element of the carrier of (GF p)
((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) is Element of the carrier of (GF p)
- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) is Element of the carrier of (GF p)
((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) + (- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)),(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
((g3 `3_3) |^ 2) * (((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) |^ 2),(((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
- (((g3 `3_3) |^ 2) * (((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
((g3 `3_3) |^ 2) * ((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) |^ 2),((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2))) is Element of the carrier of (GF p)
((g3 `3_3) |^ 2) * (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) |^ 2),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(((g3 `3_3) |^ 2) * ((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2))) - (((g3 `3_3) |^ 2) * (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3))) is Element of the carrier of (GF p)
- (((g3 `3_3) |^ 2) * (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3))) is Element of the carrier of (GF p)
(((g3 `3_3) |^ 2) * ((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2))) + (- (((g3 `3_3) |^ 2) * (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((g3 `3_3) |^ 2) * ((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2))),(- (((g3 `3_3) |^ 2) * (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3))))) is Element of the carrier of (GF p)
- ((((g3 `3_3) |^ 2) * ((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2))) - (((g3 `3_3) |^ 2) * (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)))) is Element of the carrier of (GF p)
(((g3 `3_3) |^ 2) * (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3))) - (((g3 `3_3) |^ 2) * ((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2))) is Element of the carrier of (GF p)
- (((g3 `3_3) |^ 2) * ((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2))) is Element of the carrier of (GF p)
(((g3 `3_3) |^ 2) * (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3))) + (- (((g3 `3_3) |^ 2) * ((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((g3 `3_3) |^ 2) * (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3))),(- (((g3 `3_3) |^ 2) * ((g3 `3_3) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2))))) is Element of the carrier of (GF p)
(((g3 `3_3) |^ 2) * (g3 `3_3)) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((g3 `3_3) |^ 2) * (g3 `3_3)),((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((g3 `3_3) |^ 2) * (g3 `3_3)) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) is Element of the carrier of (GF p)
- ((((g3 `3_3) |^ 2) * (g3 `3_3)) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + (- ((((g3 `3_3) |^ 2) * (g3 `3_3)) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),(- ((((g3 `3_3) |^ 2) * (g3 `3_3)) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)))) is Element of the carrier of (GF p)
((g3 `3_3) |^ (2 + 1)) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) |^ (2 + 1)),((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - (((g3 `3_3) |^ (2 + 1)) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) is Element of the carrier of (GF p)
- (((g3 `3_3) |^ (2 + 1)) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + (- (((g3 `3_3) |^ (2 + 1)) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),(- (((g3 `3_3) |^ (2 + 1)) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)))) is Element of the carrier of (GF p)
- ((g3 `3_3) |^ 3) is Element of the carrier of (GF p)
(- ((g3 `3_3) |^ 3)) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((- ((g3 `3_3) |^ 3)),((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((- ((g3 `3_3) |^ 3)) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),((- ((g3 `3_3) |^ 3)) * ((((F * O) * (p,(p,z),(p,z),g2)) - (O * (p,(p,z),(p,z),g2))) |^ 2))) is Element of the carrier of (GF p)
((F * O) * (p,(p,z),(p,z),g2)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((F * O) * (p,(p,z),(p,z),g2)),2) is set
F * ((F * O) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((F * O) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * ((F * O) * (p,(p,z),(p,z),g2))),(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) |^ 2) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((F * O) * (p,(p,z),(p,z),g2)) |^ 2) + (- ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F * O) * (p,(p,z),(p,z),g2)) |^ 2),(- ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(O * (p,(p,z),(p,z),g2)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((O * (p,(p,z),(p,z),g2)),2) is set
((((F * O) * (p,(p,z),(p,z),g2)) |^ 2) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O * (p,(p,z),(p,z),g2)) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . (((((F * O) * (p,(p,z),(p,z),g2)) |^ 2) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))),((O * (p,(p,z),(p,z),g2)) |^ 2)) is Element of the carrier of (GF p)
(- ((g3 `3_3) |^ 3)) * (((((F * O) * (p,(p,z),(p,z),g2)) |^ 2) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O * (p,(p,z),(p,z),g2)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((- ((g3 `3_3) |^ 3)),(((((F * O) * (p,(p,z),(p,z),g2)) |^ 2) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O * (p,(p,z),(p,z),g2)) |^ 2))) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((- ((g3 `3_3) |^ 3)) * (((((F * O) * (p,(p,z),(p,z),g2)) |^ 2) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O * (p,(p,z),(p,z),g2)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),((- ((g3 `3_3) |^ 3)) * (((((F * O) * (p,(p,z),(p,z),g2)) |^ 2) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O * (p,(p,z),(p,z),g2)) |^ 2)))) is Element of the carrier of (GF p)
((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F |^ 2) * (O |^ 2)),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
(((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) + (- ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(- ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
((((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O * (p,(p,z),(p,z),g2)) |^ 2) is Element of the carrier of (GF p)
the addF of (GF p) . (((((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))),((O * (p,(p,z),(p,z),g2)) |^ 2)) is Element of the carrier of (GF p)
(- ((g3 `3_3) |^ 3)) * (((((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O * (p,(p,z),(p,z),g2)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((- ((g3 `3_3) |^ 3)),(((((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O * (p,(p,z),(p,z),g2)) |^ 2))) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((- ((g3 `3_3) |^ 3)) * (((((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O * (p,(p,z),(p,z),g2)) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),((- ((g3 `3_3) |^ 3)) * (((((F |^ 2) * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O * (p,(p,z),(p,z),g2)) |^ 2)))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) + (- ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(- ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))),((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- ((g3 `3_3) |^ 3)),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),((- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((F * ((F * O) * (p,(p,z),(p,z),g2))) * (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(F * F) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((F * F),O) is Element of the carrier of (GF p)
((F * F) * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((F * F) * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((F * F) * O) * (p,(p,z),(p,z),g2)) * (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((F * F) * O) * (p,(p,z),(p,z),g2)),(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((F * F) * O) * (p,(p,z),(p,z),g2)) * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
- ((((F * F) * O) * (p,(p,z),(p,z),g2)) * (O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) + (- ((((F * F) * O) * (p,(p,z),(p,z),g2)) * (O * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(- ((((F * F) * O) * (p,(p,z),(p,z),g2)) * (O * (p,(p,z),(p,z),g2))))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((F * F) * O) * (p,(p,z),(p,z),g2)) * (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((F * F) * O) * (p,(p,z),(p,z),g2)) * (O * (p,(p,z),(p,z),g2)))),((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((F * F) * O) * (p,(p,z),(p,z),g2)) * (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- ((g3 `3_3) |^ 3)),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((F * F) * O) * (p,(p,z),(p,z),g2)) * (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((F * F) * O) * (p,(p,z),(p,z),g2)) * (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),((- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((F * F) * O) * (p,(p,z),(p,z),g2)) * (O * (p,(p,z),(p,z),g2)))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
R * O is Element of the carrier of (GF p)
the multF of (GF p) . (R,O) is Element of the carrier of (GF p)
(R * O) * (O * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * O),(O * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((R * O) * (O * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * O) * (O * (p,(p,z),(p,z),g2))),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - (((R * O) * (O * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
- (((R * O) * (O * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) + (- (((R * O) * (O * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(- (((R * O) * (O * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - (((R * O) * (O * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - (((R * O) * (O * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))),((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - (((R * O) * (O * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- ((g3 `3_3) |^ 3)),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - (((R * O) * (O * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - (((R * O) * (O * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),((- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - (((R * O) * (O * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
(R * O) * O is Element of the carrier of (GF p)
the multF of (GF p) . ((R * O),O) is Element of the carrier of (GF p)
((R * O) * O) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * O) * O),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * O) * O) * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
- ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) + (- ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(- ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))),((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- ((g3 `3_3) |^ 3)),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),((- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
- ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) + (- ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(- ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))),((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
(- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((- ((g3 `3_3) |^ 3)),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),((- ((g3 `3_3) |^ 3)) * ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) - ((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) + ((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2))))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(- ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)),(- ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3))) + (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3))),(- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)),(- ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3)))),(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))),(- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3)))),(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (- ((g3 `3_3) |^ 3)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
- (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (- (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))),(- (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)))),(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))),(((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))),(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (- ((g3 `3_3) |^ 3)))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)),((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))),(- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) + (- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))),(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
(- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + ((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))),((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + ((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))),(((- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + ((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))),(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))),(((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + ((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))),((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) + (- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)),(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)))),(((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + ((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))),((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))),(0. (GF p))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (0. (GF p))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (0. (GF p))),(((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (0. (GF p))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + ((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (0. (GF p))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))),((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))),(((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + ((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))),((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))),(((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)))) + ((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((- (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3))) + (((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `3_3) |^ 3)))),((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(0. (GF p))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))) + ((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))),((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 3))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)),((g3 `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ (2 + 1))) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ (2 + 1)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)),(- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ (2 + 1))))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ (2 + 1)))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ (2 + 1)))),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ (2 + 1)))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ (2 + 1)))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `3_3) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)),(((g3 `3_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `3_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `3_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `3_3) |^ 2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)),(- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `3_3) |^ 2) * (g3 `3_3))))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `3_3) |^ 2) * (g3 `3_3)))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `3_3) |^ 2) * (g3 `3_3)))),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `3_3) |^ 2) * (g3 `3_3)))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `3_3) |^ 2) * (g3 `3_3)))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
- ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) + (- ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)),(- ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3))),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) * (g3 `3_3)) - ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) * (g3 `3_3))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) + (- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)),(- (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))),(g3 `3_3)) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `3_3) |^ 2))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - ((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
- ((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) + (- ((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)),(- ((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2))))) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - ((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - ((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))),(g3 `3_3)) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - ((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - ((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - ((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2)) - ((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) + (- (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2),(- (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))),(g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `3_3) |^ 2)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),g2) * (g3 `3_3)),2) is set
((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) + (- (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2),(- (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2))) is Element of the carrier of (GF p)
(O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2))),(g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) |^ 2) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) |^ 2))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))),((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) - ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + (- ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))),(- ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))),((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) - ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) - ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (g3 `3_3)),((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
- (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) + (- (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (g3 `1_3)),(- (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))),(((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) is Element of the carrier of (GF p)
((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))),(g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * (((((p,(p,z),(p,z),g2) * (g3 `1_3)) - ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(- ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- ((p,(p,z),(p,z),g2) * (g3 `3_3))),((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) + ((- ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (g3 `1_3)),((- ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (g3 `1_3)) + ((- ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + ((- ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))),(((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + ((- ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((((p,(p,z),(p,z),g2) * (g3 `1_3)) + ((- ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) is Element of the carrier of (GF p)
((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + ((- ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + ((- ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))),(g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + ((- ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + ((- ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + ((- ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + ((- ((p,(p,z),(p,z),g2) * (g3 `3_3))) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (g3 `1_3)),(0. (GF p))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))),(((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) is Element of the carrier of (GF p)
((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))),(g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (((p,(p,z),(p,z),g2) * (g3 `3_3)) + ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
F * ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (F,((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
- (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) + (- (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),g2) * (g3 `1_3)),(- (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))),(((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) is Element of the carrier of (GF p)
((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))),(g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) + (0. (GF p))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (g3 `1_3)),(((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((p,(p,z),(p,z),g2) * (g3 `1_3)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) is Element of the carrier of (GF p)
((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))),(g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((p,(p,z),(p,z),g2) * (g3 `1_3))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))),(((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(g3 `3_3)) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) - (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))),((p,(p,z),(p,z),g2) * (g3 `1_3))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))),(F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
- (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) + (- (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `1_3))),(- (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(g3 `3_3)) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (g3 `1_3)),((p,(p,z),(p,z),g2) * (g3 `1_3))) is Element of the carrier of (GF p)
(O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) is Element of the carrier of (GF p)
((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) + (- (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))),(- (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) is Element of the carrier of (GF p)
(((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(g3 `3_3)) is Element of the carrier of (GF p)
((((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `1_3)))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (((p,(p,z),(p,z),g2) * (g3 `1_3)),2) is set
(O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((p,(p,z),(p,z),g2) * (g3 `1_3)) |^ 2)) is Element of the carrier of (GF p)
((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) |^ 2)) + (- (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) |^ 2)),(- (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) is Element of the carrier of (GF p)
(((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(g3 `3_3)) is Element of the carrier of (GF p)
((((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) |^ 2) * ((g3 `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) |^ 2),((g3 `1_3) |^ 2)) is Element of the carrier of (GF p)
(O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `1_3) |^ 2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(((p,(p,z),(p,z),g2) |^ 2) * ((g3 `1_3) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `1_3) |^ 2))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `1_3) |^ 2))) + (- (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `1_3) |^ 2))),(- (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) is Element of the carrier of (GF p)
(((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `1_3) |^ 2))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `1_3) |^ 2))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(g3 `3_3)) is Element of the carrier of (GF p)
((((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `1_3) |^ 2))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `1_3) |^ 2))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `1_3) |^ 2))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * (((p,(p,z),(p,z),g2) |^ 2) * ((g3 `1_3) |^ 2))) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((p,(p,z),(p,z),g2) |^ 2)) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)),((g3 `1_3) |^ 2)) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) + (- (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)),(- (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(g3 `3_3)) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * (F * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * F is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))),F) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * F) * ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * F),((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * F) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * F) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) + (- ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * F) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)),(- ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * F) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * F) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * F) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))),(g3 `3_3)) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * F) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * F) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * F) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * F) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(O |^ 2) * F is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),F) is Element of the carrier of (GF p)
((O |^ 2) * F) * ((p,(p,z),(p,z),g2) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * F),((p,(p,z),(p,z),g2) * (g3 `1_3))) is Element of the carrier of (GF p)
(((O |^ 2) * F) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) * (g3 `1_3))),((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) + (- ((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)),(- ((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))),(g3 `3_3)) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((((O |^ 2) * F) * ((p,(p,z),(p,z),g2) * (g3 `1_3))) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (g3 `1_3)),((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
(F * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),(((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
- ((F * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) + (- ((F * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)),(- ((F * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `3_3)))))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))),(g3 `3_3)) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * (((p,(p,z),(p,z),g2) * (g3 `1_3)) * ((p,(p,z),(p,z),g2) * (g3 `3_3))))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),g2) * (g3 `1_3)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)),(g3 `3_3)) is Element of the carrier of (GF p)
(F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),((((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) + (- ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)),(- ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * (g3 `3_3))))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))),(g3 `3_3)) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * (g3 `3_3)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)),(g3 `3_3)) is Element of the carrier of (GF p)
(F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((F * (O |^ 2)),((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) + (- ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)),(- ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3))))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)))),(g3 `3_3)) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - ((F * (O |^ 2)) * ((((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)),(g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) is Element of the carrier of (GF p)
- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) + (- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)),(- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3))) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3))),(g3 `3_3)) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3))) * (g3 `3_3)),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3))) * (g3 `3_3)) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)),(g3 `3_3)) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3)) is Element of the carrier of (GF p)
- ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3)) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) + (- ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)),(- ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3))),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - ((((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (g3 `3_3)) * (g3 `3_3))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)),((g3 `3_3) * (g3 `3_3))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3))) is Element of the carrier of (GF p)
- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) + (- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)),(- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3))))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3)))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3)))),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3)))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) * (g3 `3_3)))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) + (- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)),(- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),((p,z) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) + (- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))),(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3)))))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) + (- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))),(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3)))))) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3)))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3)))) + (- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((p,z) * ((g3 `3_3) |^ 3)))),(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))))) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
((((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + (- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) + (- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))),(- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
(((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(0. (GF p))) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))) + (- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))),(- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
(((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + (- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)),(- ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))),(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) - ((((((R * O) * O) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(0. (GF p))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))),(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
(((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (0. (GF p))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))),(((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) + ((- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)),((- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) + ((- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) + ((- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) + ((- (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + (((((F * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `3_3) |^ 2)))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)),(0. (GF p))) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) + (0. (GF p))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
(((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) + (0. (GF p))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) + (0. (GF p))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
((g3 `1_3) |^ 2) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `1_3) |^ 2),(g3 `3_3)) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `1_3) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)),(((g3 `1_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `1_3) |^ 2) * (g3 `3_3))) - (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `1_3) |^ 2) * (g3 `3_3))) + (- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `1_3) |^ 2) * (g3 `3_3))),(- (((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3)))) is Element of the carrier of (GF p)
(((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (((g3 `1_3) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)),(((g3 `1_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `1_3) |^ 2) * (g3 `3_3))) - ((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (((g3 `1_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
- ((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (((g3 `1_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `1_3) |^ 2) * (g3 `3_3))) + (- ((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (((g3 `1_3) |^ 2) * (g3 `3_3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `1_3) |^ 2) * (g3 `3_3))),(- ((((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (((g3 `1_3) |^ 2) * (g3 `3_3))))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
- (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) + (- (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)),(- (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) * (((g3 `1_3) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) |^ 2)) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))),(((g3 `1_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),g2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) + (- (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))),(- (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) * (((g3 `1_3) |^ 2) * (g3 `3_3)) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))),(((g3 `1_3) |^ 2) * (g3 `3_3))) is Element of the carrier of (GF p)
(((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) * ((g3 `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))),((g3 `1_3) |^ 2)) is Element of the carrier of (GF p)
((((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) * ((g3 `1_3) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O |^ 2) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) * ((g3 `1_3) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(O |^ 2) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((O |^ 2),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((O |^ 2) * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) + (- (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)),(- (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) * ((g3 `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))),((g3 `1_3) |^ 2)) is Element of the carrier of (GF p)
(((((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) * ((g3 `1_3) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((O |^ 2) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) - (((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2))) * ((g3 `1_3) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
- ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((O |^ 2) * (p,(p,z),(p,z),g2)) + (- ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((O |^ 2) * (p,(p,z),(p,z),g2)),(- ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
(((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2))),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2)),((g3 `1_3) |^ 2)) is Element of the carrier of (GF p)
(((((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)) * (g3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2))) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2)),(g3 `3_3)) is Element of the carrier of (GF p)
(g3 `3_3) * (((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 `3_3),(((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)))) is Element of the carrier of (GF p)
((g3 `3_3) * (((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)))) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `3_3) * (((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)))),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((g3 `3_3) * (((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)))) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((g3 `3_3) * (((O |^ 2) * (p,(p,z),(p,z),g2)) - ((o2 * (O |^ 2)) * (p,(p,z),(p,z),g2)))) * (p,(p,z),(p,z),g2)),((g3 `1_3) |^ 2)) is Element of the carrier of (GF p)
(R * (O |^ 2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * (p,(p,z),(p,z),g2)),(g3 `1_3)) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (p,(p,z),(p,z),g2)) * ((g3 `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * (p,(p,z),(p,z),g2)),((g3 `1_3) |^ 2)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * (p,(p,z),(p,z),g2)),(p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)),(g3 `1_3)) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)) * ((g3 `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((((R * (O |^ 2)) * (p,(p,z),(p,z),g2)) * (p,(p,z),(p,z),g2)) * (g3 `1_3)),((g3 `1_3) |^ 2)) is Element of the carrier of (GF p)
(R * (O |^ 2)) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (O |^ 2)),((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))),(g3 `1_3)) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) * (g3 `1_3)) * ((g3 `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) * (p,(p,z),(p,z),g2))) * (g3 `1_3)),((g3 `1_3) |^ 2)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(g3 `1_3)) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)) * ((g3 `1_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (g3 `1_3)),((g3 `1_3) |^ 2)) is Element of the carrier of (GF p)
((g3 `1_3) |^ 2) * (g3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 `1_3) |^ 2),(g3 `1_3)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `1_3) |^ 2) * (g3 `1_3)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(((g3 `1_3) |^ 2) * (g3 `1_3))) is Element of the carrier of (GF p)
(g3 `1_3) |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . ((g3 `1_3),(2 + 1)) is set
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ (2 + 1)) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((g3 `1_3) |^ (2 + 1))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((g3 `1_3) |^ 3)) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((p,z) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),((((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) + (- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((p,z) * ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))),(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((g3 `1_3) |^ 3) + (((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2))) + ((p,z) * ((g3 `3_3) |^ 3)))))) is Element of the carrier of (GF p)
((g3 `1_3) |^ 3) + ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((g3 `1_3) |^ 3),((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `1_3) |^ 3) + ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)),(((g3 `1_3) |^ 3) + ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `1_3) |^ 3) + ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `1_3) |^ 3) + ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) + (- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `1_3) |^ 3) + ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))),(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `1_3) |^ 3) + ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))))))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 3)) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 3)),(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) - ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 3)) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 3)) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
(((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) + (- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 3)) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3)))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))),(- ((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 3)) + (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))))))) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 3)) is Element of the carrier of (GF p)
- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 3)) is Element of the carrier of (GF p)
((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))))) + (- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 3))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * (((g3 `2_3) |^ 2) * (g3 `3_3))) - (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((((p,z) * (g3 `1_3)) * ((g3 `3_3) |^ 2)) + ((p,z) * ((g3 `3_3) |^ 3))))),(- (((R * (O |^ 2)) * ((p,(p,z),(p,z),g2) |^ 2)) * ((g3 `1_3) |^ 3)))) is Element of the carrier of (GF p)
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() Element of bool [:(ProjCo (GF p)),(ProjCo (GF p)):]
[:(ProjCo (GF p)),(ProjCo (GF p)):] is non empty V18() set
bool [:(ProjCo (GF p)),(ProjCo (GF p)):] is non empty set
[:[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):],(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):],(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
2 mod p is V11() V12() integer ext-real set
3 mod p is V11() V12() integer ext-real set
4 mod p is V11() V12() integer ext-real set
8 mod p is V11() V12() integer ext-real set
2 + 1 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
Disc ((p,z),(p,z),p) is Element of the carrier of (GF p)
R is Element of EC_SetProjCo ((p,z),(p,z),p)
o2 is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),R) is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((p,(p,z),(p,z),o2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),R) is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),R),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) + (- ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . (((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)),(- ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),o2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),R) is Element of the carrier of (GF p)
(p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),R),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) + (- ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)),(- ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),R) |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . ((p,(p,z),(p,z),R),2) is set
(p,z) * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),R) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),R),2) is set
(p,(p,z),(p,z),R) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),R),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),R) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),R),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),R) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),R),2) is set
O is Element of ProjCo (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
O `3_3 is Element of the carrier of (GF p)
O is Element of ProjCo (GF p)
O `1_3 is Element of the carrier of (GF p)
O `1 is set
(O `1) `1 is set
O `2_3 is Element of the carrier of (GF p)
(O `1) `2 is set
O `3_3 is Element of the carrier of (GF p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
g2 is Element of ProjCo (GF p)
g3 is Element of EC_SetProjCo ((p,z),(p,z),p)
g4 is Element of the carrier of (GF p)
g8 is Element of the carrier of (GF p)
gf1 is Element of the carrier of (GF p)
gf2 is Element of the carrier of (GF p)
g8 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (g8,2) is set
(g8 |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((g8 |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((g8 |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
gf1 |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (gf1,3) is set
(((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (gf1 |^ 3) is Element of the carrier of (GF p)
- (gf1 |^ 3) is Element of the carrier of (GF p)
(((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- (gf1 |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- (gf1 |^ 3))) is Element of the carrier of (GF p)
gf1 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf1,2) is set
g4 * (gf1 |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (g4,(gf1 |^ 2)) is Element of the carrier of (GF p)
(g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((g4 * (gf1 |^ 2)),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (gf1 |^ 3)) - (((g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (gf1 |^ 3)) + (- (((g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (gf1 |^ 3)),(- (((g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
gf1 * gf2 is Element of the carrier of (GF p)
the multF of (GF p) . (gf1,gf2) is Element of the carrier of (GF p)
(gf1 |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf1 |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf1 |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2 is Element of the carrier of (GF p)
- gf2 is Element of the carrier of (GF p)
(((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- gf2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- gf2)) is Element of the carrier of (GF p)
g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2) is Element of the carrier of (GF p)
the multF of (GF p) . (g8,((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)) is Element of the carrier of (GF p)
(gf1 |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf1 |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf1 |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)) - (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)) + (- (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)),(- (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(gf1 |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf1 |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf1 |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
[(gf1 * gf2),((g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)) - (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))),(((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((gf1 * gf2),((g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)) - (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is V29() set
K23(K23((gf1 * gf2),((g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)) - (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))),(((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is V29() set
gf3 is Element of the carrier of (GF p)
gf4 is Element of the carrier of (GF p)
gf1 is Element of the carrier of (GF p)
gf2 is Element of the carrier of (GF p)
gf3 is Element of the carrier of (GF p)
gf4 * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (gf4,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),R) |^ 2)) + (gf4 * ((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),R) |^ 2)),(gf4 * ((p,(p,z),(p,z),R) |^ 2))) is Element of the carrier of (GF p)
gf4 is Element of the carrier of (GF p)
gf4 is Element of the carrier of (GF p)
((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)),gf4) is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
gf3 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf3,2) is set
gf2 * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,gf4) is Element of the carrier of (GF p)
(gf3 |^ 2) - (gf2 * gf4) is Element of the carrier of (GF p)
- (gf2 * gf4) is Element of the carrier of (GF p)
(gf3 |^ 2) + (- (gf2 * gf4)) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf3 |^ 2),(- (gf2 * gf4))) is Element of the carrier of (GF p)
gf3 * R is Element of the carrier of (GF p)
the multF of (GF p) . (gf3,R) is Element of the carrier of (GF p)
(gf3 * R) * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . ((gf3 * R),gf4) is Element of the carrier of (GF p)
gf1 * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . (gf1,gf4) is Element of the carrier of (GF p)
(gf1 * gf4) - R is Element of the carrier of (GF p)
- R is Element of the carrier of (GF p)
(gf1 * gf4) + (- R) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf1 * gf4),(- R)) is Element of the carrier of (GF p)
gf3 * ((gf1 * gf4) - R) is Element of the carrier of (GF p)
the multF of (GF p) . (gf3,((gf1 * gf4) - R)) is Element of the carrier of (GF p)
gf2 * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
gf4 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf4,2) is set
(gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf2 * ((p,(p,z),(p,z),R) |^ 2)),(gf4 |^ 2)) is Element of the carrier of (GF p)
(gf3 * ((gf1 * gf4) - R)) - ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2)) is Element of the carrier of (GF p)
- ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2)) is Element of the carrier of (GF p)
(gf3 * ((gf1 * gf4) - R)) + (- ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf3 * ((gf1 * gf4) - R)),(- ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2)))) is Element of the carrier of (GF p)
gf4 |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (gf4,3) is set
gf2 * (gf4 |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,(gf4 |^ 3)) is Element of the carrier of (GF p)
[((gf3 * R) * gf4),((gf3 * ((gf1 * gf4) - R)) - ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2))),(gf2 * (gf4 |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((gf3 * R) * gf4),((gf3 * ((gf1 * gf4) - R)) - ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2)))) is V29() set
K23(K23(((gf3 * R) * gf4),((gf3 * ((gf1 * gf4) - R)) - ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2)))),(gf2 * (gf4 |^ 3))) is V29() set
g3 is Element of EC_SetProjCo ((p,z),(p,z),p)
g4 is Element of the carrier of (GF p)
g8 is Element of the carrier of (GF p)
gf1 is Element of the carrier of (GF p)
gf2 is Element of the carrier of (GF p)
g8 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (g8,2) is set
(g8 |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((g8 |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((g8 |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
gf1 |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (gf1,3) is set
(((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (gf1 |^ 3) is Element of the carrier of (GF p)
- (gf1 |^ 3) is Element of the carrier of (GF p)
(((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- (gf1 |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- (gf1 |^ 3))) is Element of the carrier of (GF p)
gf1 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf1,2) is set
g4 * (gf1 |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (g4,(gf1 |^ 2)) is Element of the carrier of (GF p)
(g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((g4 * (gf1 |^ 2)),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (gf1 |^ 3)) - (((g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (gf1 |^ 3)) + (- (((g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((g8 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (gf1 |^ 3)),(- (((g4 * (gf1 |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
gf1 * gf2 is Element of the carrier of (GF p)
the multF of (GF p) . (gf1,gf2) is Element of the carrier of (GF p)
(gf1 |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf1 |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf1 |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2 is Element of the carrier of (GF p)
- gf2 is Element of the carrier of (GF p)
(((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- gf2) is Element of the carrier of (GF p)
the addF of (GF p) . ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- gf2)) is Element of the carrier of (GF p)
g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2) is Element of the carrier of (GF p)
the multF of (GF p) . (g8,((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)) is Element of the carrier of (GF p)
(gf1 |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf1 |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf1 |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)) - (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)) + (- (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)),(- (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(gf1 |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf1 |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf1 |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
[(gf1 * gf2),((g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)) - (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))),(((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((gf1 * gf2),((g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)) - (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is V29() set
K23(K23((gf1 * gf2),((g8 * ((((gf1 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf2)) - (((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))),(((gf1 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is V29() set
gf3 is Element of the carrier of (GF p)
gf4 is Element of the carrier of (GF p)
gf1 is Element of the carrier of (GF p)
gf2 is Element of the carrier of (GF p)
gf3 is Element of the carrier of (GF p)
gf4 * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (gf4,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),R) |^ 2)) + (gf4 * ((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),R) |^ 2)),(gf4 * ((p,(p,z),(p,z),R) |^ 2))) is Element of the carrier of (GF p)
gf4 is Element of the carrier of (GF p)
gf4 is Element of the carrier of (GF p)
((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)),gf4) is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
gf3 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf3,2) is set
gf2 * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,gf4) is Element of the carrier of (GF p)
(gf3 |^ 2) - (gf2 * gf4) is Element of the carrier of (GF p)
- (gf2 * gf4) is Element of the carrier of (GF p)
(gf3 |^ 2) + (- (gf2 * gf4)) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf3 |^ 2),(- (gf2 * gf4))) is Element of the carrier of (GF p)
gf3 * R is Element of the carrier of (GF p)
the multF of (GF p) . (gf3,R) is Element of the carrier of (GF p)
(gf3 * R) * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . ((gf3 * R),gf4) is Element of the carrier of (GF p)
gf1 * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . (gf1,gf4) is Element of the carrier of (GF p)
(gf1 * gf4) - R is Element of the carrier of (GF p)
- R is Element of the carrier of (GF p)
(gf1 * gf4) + (- R) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf1 * gf4),(- R)) is Element of the carrier of (GF p)
gf3 * ((gf1 * gf4) - R) is Element of the carrier of (GF p)
the multF of (GF p) . (gf3,((gf1 * gf4) - R)) is Element of the carrier of (GF p)
gf2 * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
gf4 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf4,2) is set
(gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf2 * ((p,(p,z),(p,z),R) |^ 2)),(gf4 |^ 2)) is Element of the carrier of (GF p)
(gf3 * ((gf1 * gf4) - R)) - ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2)) is Element of the carrier of (GF p)
- ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2)) is Element of the carrier of (GF p)
(gf3 * ((gf1 * gf4) - R)) + (- ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf3 * ((gf1 * gf4) - R)),(- ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2)))) is Element of the carrier of (GF p)
gf4 |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (gf4,3) is set
gf2 * (gf4 |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,(gf4 |^ 3)) is Element of the carrier of (GF p)
[((gf3 * R) * gf4),((gf3 * ((gf1 * gf4) - R)) - ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2))),(gf2 * (gf4 |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((gf3 * R) * gf4),((gf3 * ((gf1 * gf4) - R)) - ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2)))) is V29() set
K23(K23(((gf3 * R) * gf4),((gf3 * ((gf1 * gf4) - R)) - ((gf2 * ((p,(p,z),(p,z),R) |^ 2)) * (gf4 |^ 2)))),(gf2 * (gf4 |^ 3))) is V29() set
g2 `3_3 is Element of the carrier of (GF p)
(p,O) is Element of ProjCo (GF p)
(p,g2) is Element of ProjCo (GF p)
(p,O) `3_3 is Element of the carrier of (GF p)
(p,O) is Element of ProjCo (GF p)
(p,O) `3_3 is Element of the carrier of (GF p)
(((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))),2) is set
((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))),3) is set
((((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 3) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 3) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 3))) is Element of the carrier of (GF p)
g3 is Element of the carrier of (GF p)
(((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))),2) is set
g3 * ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (g3,((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2)) is Element of the carrier of (GF p)
(g3 * ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2)) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 * ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2)),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((g3 * ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 * ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2)) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(((((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 3)) - (((g3 * ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((g3 * ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(((((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 3)) + (- (((g3 * ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 3)),(- (((g3 * ((((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),R)) - ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
gf3 is Element of the carrier of (GF p)
gf4 is Element of the carrier of (GF p)
gf3 * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . (gf3,gf4) is Element of the carrier of (GF p)
gf2 is Element of the carrier of (GF p)
gf3 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf3,2) is set
(gf3 |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf3 |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((gf3 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf3 |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(((gf3 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf4 is Element of the carrier of (GF p)
- gf4 is Element of the carrier of (GF p)
(((gf3 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- gf4) is Element of the carrier of (GF p)
the addF of (GF p) . ((((gf3 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- gf4)) is Element of the carrier of (GF p)
gf2 * ((((gf3 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf4) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,((((gf3 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf4)) is Element of the carrier of (GF p)
gf3 |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (gf3,3) is set
(gf3 |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf3 |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((gf3 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf3 |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(gf2 * ((((gf3 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf4)) - (((gf3 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((gf3 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(gf2 * ((((gf3 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf4)) + (- (((gf3 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf2 * ((((gf3 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf4)),(- (((gf3 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(gf3 |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf3 |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((gf3 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf3 |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
[(gf3 * gf4),((gf2 * ((((gf3 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf4)) - (((gf3 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))),(((gf3 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((gf3 * gf4),((gf2 * ((((gf3 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf4)) - (((gf3 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is V29() set
K23(K23((gf3 * gf4),((gf2 * ((((gf3 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - gf4)) - (((gf3 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))),(((gf3 |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is V29() set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
(p,z,(p,z),o2) is Element of EC_SetProjCo ((p,z),(p,z),p)
gf2 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf2,2) is set
(gf2 |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf2 |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf2 |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
g3 * (0. (GF p)) is Element of the carrier of (GF p)
the multF of (GF p) . (g3,(0. (GF p))) is Element of the carrier of (GF p)
(g3 * (0. (GF p))) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 * (0. (GF p))),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((g3 * (0. (GF p))) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((g3 * (0. (GF p))) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(0. (GF p)) + (((g3 * (0. (GF p))) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),(((g3 * (0. (GF p))) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
(((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - ((0. (GF p)) + (((g3 * (0. (GF p))) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
- ((0. (GF p)) + (((g3 * (0. (GF p))) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
(((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- ((0. (GF p)) + (((g3 * (0. (GF p))) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- ((0. (GF p)) + (((g3 * (0. (GF p))) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))))) is Element of the carrier of (GF p)
(g3 * (0. (GF p))) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 * (0. (GF p))),((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
(0. (GF p)) + ((g3 * (0. (GF p))) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),((g3 * (0. (GF p))) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - ((0. (GF p)) + ((g3 * (0. (GF p))) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
- ((0. (GF p)) + ((g3 * (0. (GF p))) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- ((0. (GF p)) + ((g3 * (0. (GF p))) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- ((0. (GF p)) + ((g3 * (0. (GF p))) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)))))) is Element of the carrier of (GF p)
(0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((0. (GF p)),((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
(0. (GF p)) + ((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - ((0. (GF p)) + ((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
- ((0. (GF p)) + ((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- ((0. (GF p)) + ((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- ((0. (GF p)) + ((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)))))) is Element of the carrier of (GF p)
(0. (GF p)) + (0. (GF p)) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),(0. (GF p))) is Element of the carrier of (GF p)
(((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - ((0. (GF p)) + (0. (GF p))) is Element of the carrier of (GF p)
- ((0. (GF p)) + (0. (GF p))) is Element of the carrier of (GF p)
(((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- ((0. (GF p)) + (0. (GF p)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- ((0. (GF p)) + (0. (GF p))))) is Element of the carrier of (GF p)
(((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (0. (GF p)) is Element of the carrier of (GF p)
- (0. (GF p)) is Element of the carrier of (GF p)
(((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- (0. (GF p))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((gf2 |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- (0. (GF p)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),R),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(gf2 |^ 2) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf2 |^ 2),((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
gf2 * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,gf4) is Element of the carrier of (GF p)
((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) - gf4 is Element of the carrier of (GF p)
((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) + (- gf4) is Element of the carrier of (GF p)
the addF of (GF p) . (((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))),(- gf4)) is Element of the carrier of (GF p)
gf2 * (((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) - gf4) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,(((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) - gf4)) is Element of the carrier of (GF p)
(0. (GF p)) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((0. (GF p)),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((0. (GF p)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((0. (GF p)) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(gf2 * (((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) - gf4)) - (((0. (GF p)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((0. (GF p)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(gf2 * (((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) - gf4)) + (- (((0. (GF p)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf2 * (((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) - gf4)),(- (((0. (GF p)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((0. (GF p)),((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
(gf2 * (((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) - gf4)) - ((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
- ((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
(gf2 * (((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) - gf4)) + (- ((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf2 * (((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) - gf4)),(- ((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))))) is Element of the carrier of (GF p)
(0. (GF p)) - gf4 is Element of the carrier of (GF p)
(0. (GF p)) + (- gf4) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),(- gf4)) is Element of the carrier of (GF p)
gf2 * ((0. (GF p)) - gf4) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,((0. (GF p)) - gf4)) is Element of the carrier of (GF p)
(gf2 * ((0. (GF p)) - gf4)) - ((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
(gf2 * ((0. (GF p)) - gf4)) + (- ((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf2 * ((0. (GF p)) - gf4)),(- ((0. (GF p)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))))) is Element of the carrier of (GF p)
(gf2 * ((0. (GF p)) - gf4)) - (0. (GF p)) is Element of the carrier of (GF p)
(gf2 * ((0. (GF p)) - gf4)) + (- (0. (GF p))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf2 * ((0. (GF p)) - gf4)),(- (0. (GF p)))) is Element of the carrier of (GF p)
gf2 * (- gf4) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,(- gf4)) is Element of the carrier of (GF p)
- (gf2 * gf4) is Element of the carrier of (GF p)
gf2 is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
gf2 `2_3 is Element of the carrier of (GF p)
gf2 `1 is set
(gf2 `1) `2 is set
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] \ {[0,0,0]} is Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
gf3 is Element of ProjCo (GF p)
gf3 `1_3 is Element of the carrier of (GF p)
gf3 `1 is set
(gf3 `1) `1 is set
gf3 `3_3 is Element of the carrier of (GF p)
(gf3 |^ 3) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf3 |^ 3),((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
gf3 `2_3 is Element of the carrier of (GF p)
(gf3 `1) `2 is set
g2 `1_3 is Element of the carrier of (GF p)
g2 `1 is set
(g2 `1) `1 is set
g2 `2_3 is Element of the carrier of (GF p)
(g2 `1) `2 is set
gf4 is Element of the carrier of (GF p)
gf4 * (g2 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (gf4,(g2 `1_3)) is Element of the carrier of (GF p)
gf4 * (g2 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (gf4,(g2 `3_3)) is Element of the carrier of (GF p)
gf4 * (g2 `2_3) is Element of the carrier of (GF p)
the multF of (GF p) . (gf4,(g2 `2_3)) is Element of the carrier of (GF p)
1. (GF p) is V55( GF p) Element of the carrier of (GF p)
gf4 * (1. (GF p)) is Element of the carrier of (GF p)
the multF of (GF p) . (gf4,(1. (GF p))) is Element of the carrier of (GF p)
gf4 is Element of EC_SetProjCo ((p,z),(p,z),p)
gf4 is Element of EC_SetProjCo ((p,z),(p,z),p)
R is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
R |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (R,2) is set
(R |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
R |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (R,3) is set
(((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (R |^ 3) is Element of the carrier of (GF p)
- (R |^ 3) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- (R |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- (R |^ 3))) is Element of the carrier of (GF p)
R |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (R,2) is set
R * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(R |^ 2)) is Element of the carrier of (GF p)
(R * (R |^ 2)) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (R |^ 2)),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((R * (R |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (R |^ 2)) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (R |^ 3)) - (((R * (R |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((R * (R |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (R |^ 3)) + (- (((R * (R |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (R |^ 3)),(- (((R * (R |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
R * R is Element of the carrier of (GF p)
the multF of (GF p) . (R,R) is Element of the carrier of (GF p)
(R |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R is Element of the carrier of (GF p)
- R is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- R) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- R)) is Element of the carrier of (GF p)
R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)) - (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)) + (- (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)),(- (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
[(R * R),((R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)) - (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))),(((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((R * R),((R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)) - (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is V29() set
K23(K23((R * R),((R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)) - (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))),(((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is V29() set
c₂₈ is Element of the carrier of (GF p)
c₂₉ is Element of the carrier of (GF p)
c₃₀ is Element of the carrier of (GF p)
c₃₁ is Element of the carrier of (GF p)
c₃₂ is Element of the carrier of (GF p)
c₂₉ * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (c₂₉,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),R) |^ 2)) + (c₂₉ * ((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),R) |^ 2)),(c₂₉ * ((p,(p,z),(p,z),R) |^ 2))) is Element of the carrier of (GF p)
c₃₃ is Element of the carrier of (GF p)
c₃₄ is Element of the carrier of (GF p)
((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) * c₃₃ is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)),c₃₃) is Element of the carrier of (GF p)
c₃₅ is Element of the carrier of (GF p)
c₃₂ |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₂,2) is set
c₃₁ * c₃₄ is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₁,c₃₄) is Element of the carrier of (GF p)
(c₃₂ |^ 2) - (c₃₁ * c₃₄) is Element of the carrier of (GF p)
- (c₃₁ * c₃₄) is Element of the carrier of (GF p)
(c₃₂ |^ 2) + (- (c₃₁ * c₃₄)) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₂ |^ 2),(- (c₃₁ * c₃₄))) is Element of the carrier of (GF p)
c₂₈ * c₃₅ is Element of the carrier of (GF p)
the multF of (GF p) . (c₂₈,c₃₅) is Element of the carrier of (GF p)
(c₂₈ * c₃₅) * c₃₃ is Element of the carrier of (GF p)
the multF of (GF p) . ((c₂₈ * c₃₅),c₃₃) is Element of the carrier of (GF p)
c₃₀ * c₃₄ is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₀,c₃₄) is Element of the carrier of (GF p)
(c₃₀ * c₃₄) - c₃₅ is Element of the carrier of (GF p)
- c₃₅ is Element of the carrier of (GF p)
(c₃₀ * c₃₄) + (- c₃₅) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₀ * c₃₄),(- c₃₅)) is Element of the carrier of (GF p)
c₃₂ * ((c₃₀ * c₃₄) - c₃₅) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₂,((c₃₀ * c₃₄) - c₃₅)) is Element of the carrier of (GF p)
c₃₁ * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₁,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
c₃₃ |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₃,2) is set
(c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)),(c₃₃ |^ 2)) is Element of the carrier of (GF p)
(c₃₂ * ((c₃₀ * c₃₄) - c₃₅)) - ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2)) is Element of the carrier of (GF p)
- ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2)) is Element of the carrier of (GF p)
(c₃₂ * ((c₃₀ * c₃₄) - c₃₅)) + (- ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₂ * ((c₃₀ * c₃₄) - c₃₅)),(- ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2)))) is Element of the carrier of (GF p)
c₃₃ |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₃,3) is set
c₃₁ * (c₃₃ |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₁,(c₃₃ |^ 3)) is Element of the carrier of (GF p)
[((c₂₈ * c₃₅) * c₃₃),((c₃₂ * ((c₃₀ * c₃₄) - c₃₅)) - ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2))),(c₃₁ * (c₃₃ |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((c₂₈ * c₃₅) * c₃₃),((c₃₂ * ((c₃₀ * c₃₄) - c₃₅)) - ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2)))) is V29() set
K23(K23(((c₂₈ * c₃₅) * c₃₃),((c₃₂ * ((c₃₀ * c₃₄) - c₃₅)) - ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2)))),(c₃₁ * (c₃₃ |^ 3))) is V29() set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
(p,z,(p,z),o2) is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),R),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(gf3 |^ 3) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf3 |^ 3),((p,(p,z),(p,z),R) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
gf2 is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
gf2 `3_3 is Element of the carrier of (GF p)
[(0. (GF p)),(0. (GF p)),(0. (GF p))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((0. (GF p)),(0. (GF p))) is V29() set
K23(K23((0. (GF p)),(0. (GF p))),(0. (GF p))) is V29() set
{[(0. (GF p)),(0. (GF p)),(0. (GF p))]} is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] \ {[(0. (GF p)),(0. (GF p)),(0. (GF p))]} is Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
gf3 * gf3 is Element of the carrier of (GF p)
the multF of (GF p) . (gf3,gf3) is Element of the carrier of (GF p)
(gf3 |^ 2) * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf3 |^ 2),((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
((gf3 |^ 2) * ((p,(p,z),(p,z),R) |^ 2)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf3 |^ 2) * ((p,(p,z),(p,z),R) |^ 2)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
EC_WEqProjCo ((p,z),(p,z),p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
gf3 is Element of ProjCo (GF p)
(EC_WEqProjCo ((p,z),(p,z),p)) . gf3 is Element of the carrier of (GF p)
gf3 `2_3 is Element of the carrier of (GF p)
gf3 `1 is set
(gf3 `1) `2 is set
(gf3 `2_3) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((gf3 `2_3),2) is set
gf3 `3_3 is Element of the carrier of (GF p)
((gf3 `2_3) |^ 2) * (gf3 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf3 `2_3) |^ 2),(gf3 `3_3)) is Element of the carrier of (GF p)
gf3 `1_3 is Element of the carrier of (GF p)
(gf3 `1) `1 is set
(gf3 `1_3) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((gf3 `1_3),3) is set
(p,z) * (gf3 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(gf3 `1_3)) is Element of the carrier of (GF p)
(gf3 `3_3) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((gf3 `3_3),2) is set
((p,z) * (gf3 `1_3)) * ((gf3 `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (gf3 `1_3)),((gf3 `3_3) |^ 2)) is Element of the carrier of (GF p)
((gf3 `1_3) |^ 3) + (((p,z) * (gf3 `1_3)) * ((gf3 `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((gf3 `1_3) |^ 3),(((p,z) * (gf3 `1_3)) * ((gf3 `3_3) |^ 2))) is Element of the carrier of (GF p)
(gf3 `3_3) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((gf3 `3_3),3) is set
(p,z) * ((gf3 `3_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((gf3 `3_3) |^ 3)) is Element of the carrier of (GF p)
(((gf3 `1_3) |^ 3) + (((p,z) * (gf3 `1_3)) * ((gf3 `3_3) |^ 2))) + ((p,z) * ((gf3 `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((gf3 `1_3) |^ 3) + (((p,z) * (gf3 `1_3)) * ((gf3 `3_3) |^ 2))),((p,z) * ((gf3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((gf3 `2_3) |^ 2) * (gf3 `3_3)) - ((((gf3 `1_3) |^ 3) + (((p,z) * (gf3 `1_3)) * ((gf3 `3_3) |^ 2))) + ((p,z) * ((gf3 `3_3) |^ 3))) is Element of the carrier of (GF p)
- ((((gf3 `1_3) |^ 3) + (((p,z) * (gf3 `1_3)) * ((gf3 `3_3) |^ 2))) + ((p,z) * ((gf3 `3_3) |^ 3))) is Element of the carrier of (GF p)
(((gf3 `2_3) |^ 2) * (gf3 `3_3)) + (- ((((gf3 `1_3) |^ 3) + (((p,z) * (gf3 `1_3)) * ((gf3 `3_3) |^ 2))) + ((p,z) * ((gf3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((gf3 `2_3) |^ 2) * (gf3 `3_3)),(- ((((gf3 `1_3) |^ 3) + (((p,z) * (gf3 `1_3)) * ((gf3 `3_3) |^ 2))) + ((p,z) * ((gf3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
(((gf3 |^ 2) * ((p,(p,z),(p,z),R) |^ 2)) * (p,(p,z),(p,z),o2)) * ((((gf3 `2_3) |^ 2) * (gf3 `3_3)) - ((((gf3 `1_3) |^ 3) + (((p,z) * (gf3 `1_3)) * ((gf3 `3_3) |^ 2))) + ((p,z) * ((gf3 `3_3) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . ((((gf3 |^ 2) * ((p,(p,z),(p,z),R) |^ 2)) * (p,(p,z),(p,z),o2)),((((gf3 `2_3) |^ 2) * (gf3 `3_3)) - ((((gf3 `1_3) |^ 3) + (((p,z) * (gf3 `1_3)) * ((gf3 `3_3) |^ 2))) + ((p,z) * ((gf3 `3_3) |^ 3))))) is Element of the carrier of (GF p)
(((gf3 |^ 2) * ((p,(p,z),(p,z),R) |^ 2)) * (p,(p,z),(p,z),o2)) * ((EC_WEqProjCo ((p,z),(p,z),p)) . gf3) is Element of the carrier of (GF p)
the multF of (GF p) . ((((gf3 |^ 2) * ((p,(p,z),(p,z),R) |^ 2)) * (p,(p,z),(p,z),o2)),((EC_WEqProjCo ((p,z),(p,z),p)) . gf3)) is Element of the carrier of (GF p)
gf4 is Element of EC_SetProjCo ((p,z),(p,z),p)
gf4 is Element of EC_SetProjCo ((p,z),(p,z),p)
R is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
R is Element of the carrier of (GF p)
R |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (R,2) is set
(R |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
R |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (R,3) is set
(((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (R |^ 3) is Element of the carrier of (GF p)
- (R |^ 3) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- (R |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- (R |^ 3))) is Element of the carrier of (GF p)
R |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (R,2) is set
R * (R |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (R,(R |^ 2)) is Element of the carrier of (GF p)
(R * (R |^ 2)) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((R * (R |^ 2)),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((R * (R |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R * (R |^ 2)) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (R |^ 3)) - (((R * (R |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((R * (R |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (R |^ 3)) + (- (((R * (R |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (R |^ 3)),(- (((R * (R |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
R * R is Element of the carrier of (GF p)
the multF of (GF p) . (R,R) is Element of the carrier of (GF p)
(R |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R is Element of the carrier of (GF p)
- R is Element of the carrier of (GF p)
(((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- R) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- R)) is Element of the carrier of (GF p)
R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R) is Element of the carrier of (GF p)
the multF of (GF p) . (R,((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)) - (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)) + (- (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)),(- (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(R |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((R |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((R |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
[(R * R),((R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)) - (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))),(((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((R * R),((R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)) - (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is V29() set
K23(K23((R * R),((R * ((((R |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - R)) - (((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))),(((R |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is V29() set
c₂₈ is Element of the carrier of (GF p)
c₂₉ is Element of the carrier of (GF p)
c₃₀ is Element of the carrier of (GF p)
c₃₁ is Element of the carrier of (GF p)
c₃₂ is Element of the carrier of (GF p)
c₂₉ * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (c₂₉,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),R) |^ 2)) + (c₂₉ * ((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),R) |^ 2)),(c₂₉ * ((p,(p,z),(p,z),R) |^ 2))) is Element of the carrier of (GF p)
c₃₃ is Element of the carrier of (GF p)
c₃₄ is Element of the carrier of (GF p)
((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) * c₃₃ is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)),c₃₃) is Element of the carrier of (GF p)
c₃₅ is Element of the carrier of (GF p)
c₃₂ |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₂,2) is set
c₃₁ * c₃₄ is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₁,c₃₄) is Element of the carrier of (GF p)
(c₃₂ |^ 2) - (c₃₁ * c₃₄) is Element of the carrier of (GF p)
- (c₃₁ * c₃₄) is Element of the carrier of (GF p)
(c₃₂ |^ 2) + (- (c₃₁ * c₃₄)) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₂ |^ 2),(- (c₃₁ * c₃₄))) is Element of the carrier of (GF p)
c₂₈ * c₃₅ is Element of the carrier of (GF p)
the multF of (GF p) . (c₂₈,c₃₅) is Element of the carrier of (GF p)
(c₂₈ * c₃₅) * c₃₃ is Element of the carrier of (GF p)
the multF of (GF p) . ((c₂₈ * c₃₅),c₃₃) is Element of the carrier of (GF p)
c₃₀ * c₃₄ is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₀,c₃₄) is Element of the carrier of (GF p)
(c₃₀ * c₃₄) - c₃₅ is Element of the carrier of (GF p)
- c₃₅ is Element of the carrier of (GF p)
(c₃₀ * c₃₄) + (- c₃₅) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₀ * c₃₄),(- c₃₅)) is Element of the carrier of (GF p)
c₃₂ * ((c₃₀ * c₃₄) - c₃₅) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₂,((c₃₀ * c₃₄) - c₃₅)) is Element of the carrier of (GF p)
c₃₁ * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₁,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
c₃₃ |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₃,2) is set
(c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)),(c₃₃ |^ 2)) is Element of the carrier of (GF p)
(c₃₂ * ((c₃₀ * c₃₄) - c₃₅)) - ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2)) is Element of the carrier of (GF p)
- ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2)) is Element of the carrier of (GF p)
(c₃₂ * ((c₃₀ * c₃₄) - c₃₅)) + (- ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₂ * ((c₃₀ * c₃₄) - c₃₅)),(- ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2)))) is Element of the carrier of (GF p)
c₃₃ |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₃,3) is set
c₃₁ * (c₃₃ |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₁,(c₃₃ |^ 3)) is Element of the carrier of (GF p)
[((c₂₈ * c₃₅) * c₃₃),((c₃₂ * ((c₃₀ * c₃₄) - c₃₅)) - ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2))),(c₃₁ * (c₃₃ |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((c₂₈ * c₃₅) * c₃₃),((c₃₂ * ((c₃₀ * c₃₄) - c₃₅)) - ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2)))) is V29() set
K23(K23(((c₂₈ * c₃₅) * c₃₃),((c₃₂ * ((c₃₀ * c₃₄) - c₃₅)) - ((c₃₁ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₃ |^ 2)))),(c₃₁ * (c₃₃ |^ 3))) is V29() set
(p,z) is V18() Function-like V32( EC_SetProjCo ((p,z),(p,z),p), EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):]
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
(p,z,(p,z),o2) is Element of EC_SetProjCo ((p,z),(p,z),p)
g2 `3_3 is Element of the carrier of (GF p)
(p,O) is Element of ProjCo (GF p)
(p,g2) is Element of ProjCo (GF p)
(p,O) `3_3 is Element of the carrier of (GF p)
g4 is Element of the carrier of (GF p)
g4 * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (g4,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),R) |^ 2)) + (g4 * ((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),R) |^ 2)),(g4 * ((p,(p,z),(p,z),R) |^ 2))) is Element of the carrier of (GF p)
((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)),((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R))) is Element of the carrier of (GF p)
(((p,z) * ((p,(p,z),(p,z),R) |^ 2)) + (g4 * ((p,(p,z),(p,z),R) |^ 2))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((p,z) * ((p,(p,z),(p,z),R) |^ 2)) + (g4 * ((p,(p,z),(p,z),R) |^ 2))),2) is set
gf1 is Element of the carrier of (GF p)
gf1 * (((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R))) is Element of the carrier of (GF p)
the multF of (GF p) . (gf1,(((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)))) is Element of the carrier of (GF p)
((((p,z) * ((p,(p,z),(p,z),R) |^ 2)) + (g4 * ((p,(p,z),(p,z),R) |^ 2))) |^ 2) - (gf1 * (((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)))) is Element of the carrier of (GF p)
- (gf1 * (((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)))) is Element of the carrier of (GF p)
((((p,z) * ((p,(p,z),(p,z),R) |^ 2)) + (g4 * ((p,(p,z),(p,z),R) |^ 2))) |^ 2) + (- (gf1 * (((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,z) * ((p,(p,z),(p,z),R) |^ 2)) + (g4 * ((p,(p,z),(p,z),R) |^ 2))) |^ 2),(- (gf1 * (((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) * ((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)))))) is Element of the carrier of (GF p)
g3 is Element of the carrier of (GF p)
gf4 is Element of the carrier of (GF p)
g3 * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . (g3,gf4) is Element of the carrier of (GF p)
gf3 is Element of the carrier of (GF p)
(g3 * gf4) * gf3 is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 * gf4),gf3) is Element of the carrier of (GF p)
gf2 is Element of the carrier of (GF p)
g8 is Element of the carrier of (GF p)
gf4 is Element of the carrier of (GF p)
g8 * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . (g8,gf4) is Element of the carrier of (GF p)
(g8 * gf4) - gf4 is Element of the carrier of (GF p)
- gf4 is Element of the carrier of (GF p)
(g8 * gf4) + (- gf4) is Element of the carrier of (GF p)
the addF of (GF p) . ((g8 * gf4),(- gf4)) is Element of the carrier of (GF p)
gf2 * ((g8 * gf4) - gf4) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,((g8 * gf4) - gf4)) is Element of the carrier of (GF p)
gf1 * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (gf1,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
gf3 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf3,2) is set
(gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (gf3 |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf1 * ((p,(p,z),(p,z),R) |^ 2)),(gf3 |^ 2)) is Element of the carrier of (GF p)
(gf2 * ((g8 * gf4) - gf4)) - ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (gf3 |^ 2)) is Element of the carrier of (GF p)
- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (gf3 |^ 2)) is Element of the carrier of (GF p)
(gf2 * ((g8 * gf4) - gf4)) + (- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (gf3 |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf2 * ((g8 * gf4) - gf4)),(- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (gf3 |^ 2)))) is Element of the carrier of (GF p)
gf3 |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (gf3,3) is set
gf1 * (gf3 |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (gf1,(gf3 |^ 3)) is Element of the carrier of (GF p)
[((g3 * gf4) * gf3),((gf2 * ((g8 * gf4) - gf4)) - ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (gf3 |^ 2))),(gf1 * (gf3 |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((g3 * gf4) * gf3),((gf2 * ((g8 * gf4) - gf4)) - ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (gf3 |^ 2)))) is V29() set
K23(K23(((g3 * gf4) * gf3),((gf2 * ((g8 * gf4) - gf4)) - ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (gf3 |^ 2)))),(gf1 * (gf3 |^ 3))) is V29() set
gf2 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf2,2) is set
(gf2 |^ 2) - (0. (GF p)) is Element of the carrier of (GF p)
- (0. (GF p)) is Element of the carrier of (GF p)
(gf2 |^ 2) + (- (0. (GF p))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf2 |^ 2),(- (0. (GF p)))) is Element of the carrier of (GF p)
R is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
R `2_3 is Element of the carrier of (GF p)
R `1 is set
(R `1) `2 is set
g8 * (0. (GF p)) is Element of the carrier of (GF p)
the multF of (GF p) . (g8,(0. (GF p))) is Element of the carrier of (GF p)
(g8 * (0. (GF p))) - gf4 is Element of the carrier of (GF p)
(g8 * (0. (GF p))) + (- gf4) is Element of the carrier of (GF p)
the addF of (GF p) . ((g8 * (0. (GF p))),(- gf4)) is Element of the carrier of (GF p)
gf2 * ((g8 * (0. (GF p))) - gf4) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,((g8 * (0. (GF p))) - gf4)) is Element of the carrier of (GF p)
gf3 * gf3 is Element of the carrier of (GF p)
the multF of (GF p) . (gf3,gf3) is Element of the carrier of (GF p)
(gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (gf3 * gf3) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf1 * ((p,(p,z),(p,z),R) |^ 2)),(gf3 * gf3)) is Element of the carrier of (GF p)
(gf2 * ((g8 * (0. (GF p))) - gf4)) - ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (gf3 * gf3)) is Element of the carrier of (GF p)
- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (gf3 * gf3)) is Element of the carrier of (GF p)
(gf2 * ((g8 * (0. (GF p))) - gf4)) + (- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (gf3 * gf3))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf2 * ((g8 * (0. (GF p))) - gf4)),(- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (gf3 * gf3)))) is Element of the carrier of (GF p)
(0. (GF p)) - gf4 is Element of the carrier of (GF p)
(0. (GF p)) + (- gf4) is Element of the carrier of (GF p)
the addF of (GF p) . ((0. (GF p)),(- gf4)) is Element of the carrier of (GF p)
gf2 * ((0. (GF p)) - gf4) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,((0. (GF p)) - gf4)) is Element of the carrier of (GF p)
(0. (GF p)) * (0. (GF p)) is Element of the carrier of (GF p)
the multF of (GF p) . ((0. (GF p)),(0. (GF p))) is Element of the carrier of (GF p)
(gf1 * ((p,(p,z),(p,z),R) |^ 2)) * ((0. (GF p)) * (0. (GF p))) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf1 * ((p,(p,z),(p,z),R) |^ 2)),((0. (GF p)) * (0. (GF p)))) is Element of the carrier of (GF p)
(gf2 * ((0. (GF p)) - gf4)) - ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * ((0. (GF p)) * (0. (GF p)))) is Element of the carrier of (GF p)
- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * ((0. (GF p)) * (0. (GF p)))) is Element of the carrier of (GF p)
(gf2 * ((0. (GF p)) - gf4)) + (- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * ((0. (GF p)) * (0. (GF p))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf2 * ((0. (GF p)) - gf4)),(- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * ((0. (GF p)) * (0. (GF p)))))) is Element of the carrier of (GF p)
gf2 * (- gf4) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,(- gf4)) is Element of the carrier of (GF p)
(gf2 * (- gf4)) - ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * ((0. (GF p)) * (0. (GF p)))) is Element of the carrier of (GF p)
(gf2 * (- gf4)) + (- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * ((0. (GF p)) * (0. (GF p))))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf2 * (- gf4)),(- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * ((0. (GF p)) * (0. (GF p)))))) is Element of the carrier of (GF p)
(gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (0. (GF p)) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf1 * ((p,(p,z),(p,z),R) |^ 2)),(0. (GF p))) is Element of the carrier of (GF p)
(gf2 * (- gf4)) - ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (0. (GF p))) is Element of the carrier of (GF p)
- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (0. (GF p))) is Element of the carrier of (GF p)
(gf2 * (- gf4)) + (- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (0. (GF p)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf2 * (- gf4)),(- ((gf1 * ((p,(p,z),(p,z),R) |^ 2)) * (0. (GF p))))) is Element of the carrier of (GF p)
(gf2 * (- gf4)) - (0. (GF p)) is Element of the carrier of (GF p)
(gf2 * (- gf4)) + (- (0. (GF p))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf2 * (- gf4)),(- (0. (GF p)))) is Element of the carrier of (GF p)
gf2 * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,gf4) is Element of the carrier of (GF p)
- (gf2 * gf4) is Element of the carrier of (GF p)
- (R `2_3) is Element of the carrier of (GF p)
[(0. (GF p)),(0. (GF p)),(0. (GF p))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((0. (GF p)),(0. (GF p))) is V29() set
K23(K23((0. (GF p)),(0. (GF p))),(0. (GF p))) is V29() set
{[(0. (GF p)),(0. (GF p)),(0. (GF p))]} is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] \ {[(0. (GF p)),(0. (GF p)),(0. (GF p))]} is Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
R is Element of ProjCo (GF p)
R `1_3 is Element of the carrier of (GF p)
R `1 is set
(R `1) `1 is set
R `3_3 is Element of the carrier of (GF p)
R `2_3 is Element of the carrier of (GF p)
(R `1) `2 is set
g2 `1_3 is Element of the carrier of (GF p)
g2 `1 is set
(g2 `1) `1 is set
g2 `2_3 is Element of the carrier of (GF p)
(g2 `1) `2 is set
c₂₈ is Element of the carrier of (GF p)
c₂₈ * (g2 `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . (c<sub>28</sub>,(g2 `1_3)) is Element of the carrier of (GF p)
c₂₈ * (g2 `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (c<sub>28</sub>,(g2 `3_3)) is Element of the carrier of (GF p)
c₂₈ * (g2 `2_3) is Element of the carrier of (GF p)
the multF of (GF p) . (c<sub>28</sub>,(g2 `2_3)) is Element of the carrier of (GF p)
1. (GF p) is V55( GF p) Element of the carrier of (GF p)
c₂₈ * (1. (GF p)) is Element of the carrier of (GF p)
the multF of (GF p) . (c₂₈,(1. (GF p))) is Element of the carrier of (GF p)
R is Element of EC_SetProjCo ((p,z),(p,z),p)
c₂₈ is Element of EC_SetProjCo ((p,z),(p,z),p)
c₂₉ is Element of the carrier of (GF p)
c₃₀ is Element of the carrier of (GF p)
c₃₁ is Element of the carrier of (GF p)
c₃₂ is Element of the carrier of (GF p)
c₃₀ |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₀,2) is set
(c₃₀ |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₀ |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((c₃₀ |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
c₃₁ |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₁,3) is set
(((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (c₃₁ |^ 3) is Element of the carrier of (GF p)
- (c₃₁ |^ 3) is Element of the carrier of (GF p)
(((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- (c₃₁ |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- (c₃₁ |^ 3))) is Element of the carrier of (GF p)
c₃₁ |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₁,2) is set
c₂₉ * (c₃₁ |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (c₂₉,(c₃₁ |^ 2)) is Element of the carrier of (GF p)
(c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₂₉ * (c₃₁ |^ 2)),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (c₃₁ |^ 3)) - (((c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (c₃₁ |^ 3)) + (- (((c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (c₃₁ |^ 3)),(- (((c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
c₃₁ * c₃₂ is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₁,c₃₂) is Element of the carrier of (GF p)
(c₃₁ |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₁ |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((c₃₁ |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂ is Element of the carrier of (GF p)
- c₃₂ is Element of the carrier of (GF p)
(((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- c₃₂) is Element of the carrier of (GF p)
the addF of (GF p) . ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- c₃₂)) is Element of the carrier of (GF p)
c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₀,((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)) is Element of the carrier of (GF p)
(c₃₁ |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₁ |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)) - (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)) + (- (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)),(- (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(c₃₁ |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₁ |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
[(c₃₁ * c₃₂),((c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)) - (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))),(((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((c₃₁ * c₃₂),((c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)) - (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is V29() set
K23(K23((c₃₁ * c₃₂),((c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)) - (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))),(((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is V29() set
c₃₃ is Element of the carrier of (GF p)
c₃₄ is Element of the carrier of (GF p)
c₃₅ is Element of the carrier of (GF p)
c₃₆ is Element of the carrier of (GF p)
c₃₇ is Element of the carrier of (GF p)
c₃₄ * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₄,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),R) |^ 2)) + (c₃₄ * ((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),R) |^ 2)),(c₃₄ * ((p,(p,z),(p,z),R) |^ 2))) is Element of the carrier of (GF p)
c₃₈ is Element of the carrier of (GF p)
c₃₉ is Element of the carrier of (GF p)
((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) * c₃₈ is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)),c₃₈) is Element of the carrier of (GF p)
c₄₀ is Element of the carrier of (GF p)
c₃₇ |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₇,2) is set
c₃₆ * c₃₉ is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₆,c₃₉) is Element of the carrier of (GF p)
(c₃₇ |^ 2) - (c₃₆ * c₃₉) is Element of the carrier of (GF p)
- (c₃₆ * c₃₉) is Element of the carrier of (GF p)
(c₃₇ |^ 2) + (- (c₃₆ * c₃₉)) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₇ |^ 2),(- (c₃₆ * c₃₉))) is Element of the carrier of (GF p)
c₃₃ * c₄₀ is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₃,c₄₀) is Element of the carrier of (GF p)
(c₃₃ * c₄₀) * c₃₈ is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₃ * c₄₀),c₃₈) is Element of the carrier of (GF p)
c₃₅ * c₃₉ is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₅,c₃₉) is Element of the carrier of (GF p)
(c₃₅ * c₃₉) - c₄₀ is Element of the carrier of (GF p)
- c₄₀ is Element of the carrier of (GF p)
(c₃₅ * c₃₉) + (- c₄₀) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₅ * c₃₉),(- c₄₀)) is Element of the carrier of (GF p)
c₃₇ * ((c₃₅ * c₃₉) - c₄₀) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₇,((c₃₅ * c₃₉) - c₄₀)) is Element of the carrier of (GF p)
c₃₆ * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₆,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
c₃₈ |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₈,2) is set
(c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)),(c₃₈ |^ 2)) is Element of the carrier of (GF p)
(c₃₇ * ((c₃₅ * c₃₉) - c₄₀)) - ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2)) is Element of the carrier of (GF p)
- ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2)) is Element of the carrier of (GF p)
(c₃₇ * ((c₃₅ * c₃₉) - c₄₀)) + (- ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₇ * ((c₃₅ * c₃₉) - c₄₀)),(- ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2)))) is Element of the carrier of (GF p)
c₃₈ |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₈,3) is set
c₃₆ * (c₃₈ |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₆,(c₃₈ |^ 3)) is Element of the carrier of (GF p)
[((c₃₃ * c₄₀) * c₃₈),((c₃₇ * ((c₃₅ * c₃₉) - c₄₀)) - ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2))),(c₃₆ * (c₃₈ |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((c₃₃ * c₄₀) * c₃₈),((c₃₇ * ((c₃₅ * c₃₉) - c₄₀)) - ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2)))) is V29() set
K23(K23(((c₃₃ * c₄₀) * c₃₈),((c₃₇ * ((c₃₅ * c₃₉) - c₄₀)) - ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2)))),(c₃₆ * (c₃₈ |^ 3))) is V29() set
2 * 2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(2 * 2) mod p is V11() V12() integer ext-real set
g3 * g3 is Element of the carrier of (GF p)
the multF of (GF p) . (g3,g3) is Element of the carrier of (GF p)
4 * 2 is epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real Element of NAT
(4 * 2) mod p is V11() V12() integer ext-real set
g8 * g3 is Element of the carrier of (GF p)
the multF of (GF p) . (g8,g3) is Element of the carrier of (GF p)
g3 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (g3,2) is set
(g3 |^ 2) * g3 is Element of the carrier of (GF p)
the multF of (GF p) . ((g3 |^ 2),g3) is Element of the carrier of (GF p)
g3 |^ (2 + 1) is Element of the carrier of (GF p)
(power (GF p)) . (g3,(2 + 1)) is set
g3 |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (g3,3) is set
R is Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
R `3_3 is Element of the carrier of (GF p)
[(0. (GF p)),(0. (GF p)),(0. (GF p))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((0. (GF p)),(0. (GF p))) is V29() set
K23(K23((0. (GF p)),(0. (GF p))),(0. (GF p))) is V29() set
{[(0. (GF p)),(0. (GF p)),(0. (GF p))]} is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] \ {[(0. (GF p)),(0. (GF p)),(0. (GF p))]} is Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
g8 * (gf3 |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (g8,(gf3 |^ 2)) is Element of the carrier of (GF p)
(g8 * (gf3 |^ 2)) * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((g8 * (gf3 |^ 2)),((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
EC_WEqProjCo ((p,z),(p,z),p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
R is Element of ProjCo (GF p)
(EC_WEqProjCo ((p,z),(p,z),p)) . R is Element of the carrier of (GF p)
R `2_3 is Element of the carrier of (GF p)
R `1 is set
(R `1) `2 is set
(R `2_3) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((R `2_3),2) is set
R `3_3 is Element of the carrier of (GF p)
((R `2_3) |^ 2) * (R `3_3) is Element of the carrier of (GF p)
the multF of (GF p) . (((R `2_3) |^ 2),(R `3_3)) is Element of the carrier of (GF p)
R `1_3 is Element of the carrier of (GF p)
(R `1) `1 is set
(R `1_3) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((R `1_3),3) is set
(p,z) * (R `1_3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),(R `1_3)) is Element of the carrier of (GF p)
(R `3_3) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((R `3_3),2) is set
((p,z) * (R `1_3)) * ((R `3_3) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,z) * (R `1_3)),((R `3_3) |^ 2)) is Element of the carrier of (GF p)
((R `1_3) |^ 3) + (((p,z) * (R `1_3)) * ((R `3_3) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((R `1_3) |^ 3),(((p,z) * (R `1_3)) * ((R `3_3) |^ 2))) is Element of the carrier of (GF p)
(R `3_3) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((R `3_3),3) is set
(p,z) * ((R `3_3) |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((R `3_3) |^ 3)) is Element of the carrier of (GF p)
(((R `1_3) |^ 3) + (((p,z) * (R `1_3)) * ((R `3_3) |^ 2))) + ((p,z) * ((R `3_3) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R `1_3) |^ 3) + (((p,z) * (R `1_3)) * ((R `3_3) |^ 2))),((p,z) * ((R `3_3) |^ 3))) is Element of the carrier of (GF p)
(((R `2_3) |^ 2) * (R `3_3)) - ((((R `1_3) |^ 3) + (((p,z) * (R `1_3)) * ((R `3_3) |^ 2))) + ((p,z) * ((R `3_3) |^ 3))) is Element of the carrier of (GF p)
- ((((R `1_3) |^ 3) + (((p,z) * (R `1_3)) * ((R `3_3) |^ 2))) + ((p,z) * ((R `3_3) |^ 3))) is Element of the carrier of (GF p)
(((R `2_3) |^ 2) * (R `3_3)) + (- ((((R `1_3) |^ 3) + (((p,z) * (R `1_3)) * ((R `3_3) |^ 2))) + ((p,z) * ((R `3_3) |^ 3)))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((R `2_3) |^ 2) * (R `3_3)),(- ((((R `1_3) |^ 3) + (((p,z) * (R `1_3)) * ((R `3_3) |^ 2))) + ((p,z) * ((R `3_3) |^ 3))))) is Element of the carrier of (GF p)
((g8 * (gf3 |^ 2)) * ((p,(p,z),(p,z),R) |^ 2)) * ((((R `2_3) |^ 2) * (R `3_3)) - ((((R `1_3) |^ 3) + (((p,z) * (R `1_3)) * ((R `3_3) |^ 2))) + ((p,z) * ((R `3_3) |^ 3)))) is Element of the carrier of (GF p)
the multF of (GF p) . (((g8 * (gf3 |^ 2)) * ((p,(p,z),(p,z),R) |^ 2)),((((R `2_3) |^ 2) * (R `3_3)) - ((((R `1_3) |^ 3) + (((p,z) * (R `1_3)) * ((R `3_3) |^ 2))) + ((p,z) * ((R `3_3) |^ 3))))) is Element of the carrier of (GF p)
((g8 * (gf3 |^ 2)) * ((p,(p,z),(p,z),R) |^ 2)) * ((EC_WEqProjCo ((p,z),(p,z),p)) . R) is Element of the carrier of (GF p)
the multF of (GF p) . (((g8 * (gf3 |^ 2)) * ((p,(p,z),(p,z),R) |^ 2)),((EC_WEqProjCo ((p,z),(p,z),p)) . R)) is Element of the carrier of (GF p)
R is Element of EC_SetProjCo ((p,z),(p,z),p)
c₂₈ is Element of EC_SetProjCo ((p,z),(p,z),p)
c₂₉ is Element of the carrier of (GF p)
c₃₀ is Element of the carrier of (GF p)
c₃₁ is Element of the carrier of (GF p)
c₃₂ is Element of the carrier of (GF p)
c₃₀ |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₀,2) is set
(c₃₀ |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₀ |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((c₃₀ |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
c₃₁ |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₁,3) is set
(((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (c₃₁ |^ 3) is Element of the carrier of (GF p)
- (c₃₁ |^ 3) is Element of the carrier of (GF p)
(((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- (c₃₁ |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- (c₃₁ |^ 3))) is Element of the carrier of (GF p)
c₃₁ |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₁,2) is set
c₂₉ * (c₃₁ |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (c₂₉,(c₃₁ |^ 2)) is Element of the carrier of (GF p)
(c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₂₉ * (c₃₁ |^ 2)),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (c₃₁ |^ 3)) - (((c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (c₃₁ |^ 3)) + (- (((c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((c₃₀ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - (c₃₁ |^ 3)),(- (((c₂₉ * (c₃₁ |^ 2)) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
c₃₁ * c₃₂ is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₁,c₃₂) is Element of the carrier of (GF p)
(c₃₁ |^ 2) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₁ |^ 2),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((c₃₁ |^ 2) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂ is Element of the carrier of (GF p)
- c₃₂ is Element of the carrier of (GF p)
(((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) + (- c₃₂) is Element of the carrier of (GF p)
the addF of (GF p) . ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)),(- c₃₂)) is Element of the carrier of (GF p)
c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₀,((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)) is Element of the carrier of (GF p)
(c₃₁ |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₁ |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)) - (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
- (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)) + (- (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)),(- (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is Element of the carrier of (GF p)
(c₃₁ |^ 3) * (p,(p,z),(p,z),R) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₁ |^ 3),(p,(p,z),(p,z),R)) is Element of the carrier of (GF p)
((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
[(c₃₁ * c₃₂),((c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)) - (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))),(((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((c₃₁ * c₃₂),((c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)) - (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))) is V29() set
K23(K23((c₃₁ * c₃₂),((c₃₀ * ((((c₃₁ |^ 2) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)) - c₃₂)) - (((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2)))),(((c₃₁ |^ 3) * (p,(p,z),(p,z),R)) * (p,(p,z),(p,z),o2))) is V29() set
c₃₃ is Element of the carrier of (GF p)
c₃₄ is Element of the carrier of (GF p)
c₃₅ is Element of the carrier of (GF p)
c₃₆ is Element of the carrier of (GF p)
c₃₇ is Element of the carrier of (GF p)
c₃₄ * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₄,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),R) |^ 2)) + (c₃₄ * ((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),R) |^ 2)),(c₃₄ * ((p,(p,z),(p,z),R) |^ 2))) is Element of the carrier of (GF p)
c₃₈ is Element of the carrier of (GF p)
c₃₉ is Element of the carrier of (GF p)
((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)) * c₃₈ is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),R) * (p,(p,z),(p,z),R)),c₃₈) is Element of the carrier of (GF p)
c₄₀ is Element of the carrier of (GF p)
c₃₇ |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₇,2) is set
c₃₆ * c₃₉ is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₆,c₃₉) is Element of the carrier of (GF p)
(c₃₇ |^ 2) - (c₃₆ * c₃₉) is Element of the carrier of (GF p)
- (c₃₆ * c₃₉) is Element of the carrier of (GF p)
(c₃₇ |^ 2) + (- (c₃₆ * c₃₉)) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₇ |^ 2),(- (c₃₆ * c₃₉))) is Element of the carrier of (GF p)
c₃₃ * c₄₀ is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₃,c₄₀) is Element of the carrier of (GF p)
(c₃₃ * c₄₀) * c₃₈ is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₃ * c₄₀),c₃₈) is Element of the carrier of (GF p)
c₃₅ * c₃₉ is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₅,c₃₉) is Element of the carrier of (GF p)
(c₃₅ * c₃₉) - c₄₀ is Element of the carrier of (GF p)
- c₄₀ is Element of the carrier of (GF p)
(c₃₅ * c₃₉) + (- c₄₀) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₅ * c₃₉),(- c₄₀)) is Element of the carrier of (GF p)
c₃₇ * ((c₃₅ * c₃₉) - c₄₀) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₇,((c₃₅ * c₃₉) - c₄₀)) is Element of the carrier of (GF p)
c₃₆ * ((p,(p,z),(p,z),R) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₆,((p,(p,z),(p,z),R) |^ 2)) is Element of the carrier of (GF p)
c₃₈ |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₈,2) is set
(c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)),(c₃₈ |^ 2)) is Element of the carrier of (GF p)
(c₃₇ * ((c₃₅ * c₃₉) - c₄₀)) - ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2)) is Element of the carrier of (GF p)
- ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2)) is Element of the carrier of (GF p)
(c₃₇ * ((c₃₅ * c₃₉) - c₄₀)) + (- ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((c₃₇ * ((c₃₅ * c₃₉) - c₄₀)),(- ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2)))) is Element of the carrier of (GF p)
c₃₈ |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (c₃₈,3) is set
c₃₆ * (c₃₈ |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (c₃₆,(c₃₈ |^ 3)) is Element of the carrier of (GF p)
[((c₃₃ * c₄₀) * c₃₈),((c₃₇ * ((c₃₅ * c₃₉) - c₄₀)) - ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2))),(c₃₆ * (c₃₈ |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((c₃₃ * c₄₀) * c₃₈),((c₃₇ * ((c₃₅ * c₃₉) - c₄₀)) - ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2)))) is V29() set
K23(K23(((c₃₃ * c₄₀) * c₃₈),((c₃₇ * ((c₃₅ * c₃₉) - c₄₀)) - ((c₃₆ * ((p,(p,z),(p,z),R) |^ 2)) * (c₃₈ |^ 2)))),(c₃₆ * (c₃₈ |^ 3))) is V29() set
R is V18() Function-like V32([:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):], EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):],(EC_SetProjCo ((p,z),(p,z),p)):]
O is Element of EC_SetProjCo ((p,z),(p,z),p)
o2 is Element of EC_SetProjCo ((p,z),(p,z),p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
R . (o2,O) is Element of EC_SetProjCo ((p,z),(p,z),p)
P is Element of the carrier of (GF p)
Q is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),o2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),o2)) - ((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),o2)) + (- ((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),o2)),(- ((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
g2 is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) is Element of the carrier of (GF p)
(p,(p,z),(p,z),O) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),O),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),o2),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),o2)) - ((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),O) * (p,(p,z),(p,z),o2)) + (- ((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),O) * (p,(p,z),(p,z),o2)),(- ((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
g3 is Element of the carrier of (GF p)
Q |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . (Q,2) is set
(Q |^ 2) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((Q |^ 2),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((Q |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((Q |^ 2) * (p,(p,z),(p,z),o2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
g2 |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (g2,3) is set
(((Q |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) - (g2 |^ 3) is Element of the carrier of (GF p)
- (g2 |^ 3) is Element of the carrier of (GF p)
(((Q |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) + (- (g2 |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . ((((Q |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)),(- (g2 |^ 3))) is Element of the carrier of (GF p)
g2 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (g2,2) is set
P * (g2 |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (P,(g2 |^ 2)) is Element of the carrier of (GF p)
(P * (g2 |^ 2)) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((P * (g2 |^ 2)),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((P * (g2 |^ 2)) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((P * (g2 |^ 2)) * (p,(p,z),(p,z),o2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) - (g2 |^ 3)) - (((P * (g2 |^ 2)) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((P * (g2 |^ 2)) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
((((Q |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) - (g2 |^ 3)) + (- (((P * (g2 |^ 2)) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((Q |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) - (g2 |^ 3)),(- (((P * (g2 |^ 2)) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
g2 * g3 is Element of the carrier of (GF p)
the multF of (GF p) . (g2,g3) is Element of the carrier of (GF p)
(g2 |^ 2) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((g2 |^ 2),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((g2 |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((g2 |^ 2) * (p,(p,z),(p,z),o2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(((g2 |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) - g3 is Element of the carrier of (GF p)
- g3 is Element of the carrier of (GF p)
(((g2 |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) + (- g3) is Element of the carrier of (GF p)
the addF of (GF p) . ((((g2 |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)),(- g3)) is Element of the carrier of (GF p)
Q * ((((g2 |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) - g3) is Element of the carrier of (GF p)
the multF of (GF p) . (Q,((((g2 |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) - g3)) is Element of the carrier of (GF p)
(g2 |^ 3) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((g2 |^ 3),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((g2 |^ 3) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((g2 |^ 3) * (p,(p,z),(p,z),o2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * ((((g2 |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) - g3)) - (((g2 |^ 3) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
- (((g2 |^ 3) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
(Q * ((((g2 |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) - g3)) + (- (((g2 |^ 3) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O))) is Element of the carrier of (GF p)
the addF of (GF p) . ((Q * ((((g2 |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) - g3)),(- (((g2 |^ 3) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)))) is Element of the carrier of (GF p)
(g2 |^ 3) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((g2 |^ 3),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((g2 |^ 3) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O) is Element of the carrier of (GF p)
the multF of (GF p) . (((g2 |^ 3) * (p,(p,z),(p,z),o2)),(p,(p,z),(p,z),O)) is Element of the carrier of (GF p)
[(g2 * g3),((Q * ((((g2 |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) - g3)) - (((g2 |^ 3) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O))),(((g2 |^ 3) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((g2 * g3),((Q * ((((g2 |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) - g3)) - (((g2 |^ 3) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)))) is V29() set
K23(K23((g2 * g3),((Q * ((((g2 |^ 2) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)) - g3)) - (((g2 |^ 3) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O)))),(((g2 |^ 3) * (p,(p,z),(p,z),o2)) * (p,(p,z),(p,z),O))) is V29() set
g4 is Element of the carrier of (GF p)
g8 is Element of the carrier of (GF p)
gf1 is Element of the carrier of (GF p)
gf2 is Element of the carrier of (GF p)
gf3 is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),o2),2) is set
(p,z) * ((p,(p,z),(p,z),o2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),o2) |^ 2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),o2),2) is set
g8 * ((p,(p,z),(p,z),o2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (g8,((p,(p,z),(p,z),o2) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),o2) |^ 2)) + (g8 * ((p,(p,z),(p,z),o2) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),o2) |^ 2)),(g8 * ((p,(p,z),(p,z),o2) |^ 2))) is Element of the carrier of (GF p)
gf4 is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),o2),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
gf1 is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) * (p,(p,z),(p,z),o2) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),o2),(p,(p,z),(p,z),o2)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),o2)) * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),o2) * (p,(p,z),(p,z),o2)),gf4) is Element of the carrier of (GF p)
gf2 is Element of the carrier of (GF p)
gf3 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf3,2) is set
gf2 * gf1 is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,gf1) is Element of the carrier of (GF p)
(gf3 |^ 2) - (gf2 * gf1) is Element of the carrier of (GF p)
- (gf2 * gf1) is Element of the carrier of (GF p)
(gf3 |^ 2) + (- (gf2 * gf1)) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf3 |^ 2),(- (gf2 * gf1))) is Element of the carrier of (GF p)
g4 * gf2 is Element of the carrier of (GF p)
the multF of (GF p) . (g4,gf2) is Element of the carrier of (GF p)
(g4 * gf2) * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . ((g4 * gf2),gf4) is Element of the carrier of (GF p)
gf1 * gf1 is Element of the carrier of (GF p)
the multF of (GF p) . (gf1,gf1) is Element of the carrier of (GF p)
(gf1 * gf1) - gf2 is Element of the carrier of (GF p)
- gf2 is Element of the carrier of (GF p)
(gf1 * gf1) + (- gf2) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf1 * gf1),(- gf2)) is Element of the carrier of (GF p)
gf3 * ((gf1 * gf1) - gf2) is Element of the carrier of (GF p)
the multF of (GF p) . (gf3,((gf1 * gf1) - gf2)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),o2) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),o2),2) is set
gf2 * ((p,(p,z),(p,z),o2) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,((p,(p,z),(p,z),o2) |^ 2)) is Element of the carrier of (GF p)
gf4 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf4,2) is set
(gf2 * ((p,(p,z),(p,z),o2) |^ 2)) * (gf4 |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf2 * ((p,(p,z),(p,z),o2) |^ 2)),(gf4 |^ 2)) is Element of the carrier of (GF p)
(gf3 * ((gf1 * gf1) - gf2)) - ((gf2 * ((p,(p,z),(p,z),o2) |^ 2)) * (gf4 |^ 2)) is Element of the carrier of (GF p)
- ((gf2 * ((p,(p,z),(p,z),o2) |^ 2)) * (gf4 |^ 2)) is Element of the carrier of (GF p)
(gf3 * ((gf1 * gf1) - gf2)) + (- ((gf2 * ((p,(p,z),(p,z),o2) |^ 2)) * (gf4 |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf3 * ((gf1 * gf1) - gf2)),(- ((gf2 * ((p,(p,z),(p,z),o2) |^ 2)) * (gf4 |^ 2)))) is Element of the carrier of (GF p)
gf4 |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (gf4,3) is set
gf2 * (gf4 |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,(gf4 |^ 3)) is Element of the carrier of (GF p)
[((g4 * gf2) * gf4),((gf3 * ((gf1 * gf1) - gf2)) - ((gf2 * ((p,(p,z),(p,z),o2) |^ 2)) * (gf4 |^ 2))),(gf2 * (gf4 |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((g4 * gf2) * gf4),((gf3 * ((gf1 * gf1) - gf2)) - ((gf2 * ((p,(p,z),(p,z),o2) |^ 2)) * (gf4 |^ 2)))) is V29() set
K23(K23(((g4 * gf2) * gf4),((gf3 * ((gf1 * gf1) - gf2)) - ((gf2 * ((p,(p,z),(p,z),o2) |^ 2)) * (gf4 |^ 2)))),(gf2 * (gf4 |^ 3))) is V29() set
R is V18() Function-like V32([:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):], EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):],(EC_SetProjCo ((p,z),(p,z),p)):]
o2 is V18() Function-like V32([:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):], EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):],(EC_SetProjCo ((p,z),(p,z),p)):]
P is Element of EC_SetProjCo ((p,z),(p,z),p)
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
R . (P,Q) is Element of EC_SetProjCo ((p,z),(p,z),p)
o2 . (P,Q) is Element of EC_SetProjCo ((p,z),(p,z),p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((p,(p,z),(p,z),Q),(p,(p,z),(p,z),P)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),P),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) + (- ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . (((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)),(- ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
(p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),Q),(p,(p,z),(p,z),P)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),P),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
- ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) + (- ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
the addF of (GF p) . (((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)),(- ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))),2) is set
((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2) * (p,(p,z),(p,z),P) is Element of the carrier of (GF p)
the multF of (GF p) . (((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2),(p,(p,z),(p,z),P)) is Element of the carrier of (GF p)
(((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . ((((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2) * (p,(p,z),(p,z),P)),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))),3) is set
((((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) - ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 3) is Element of the carrier of (GF p)
- ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 3) is Element of the carrier of (GF p)
((((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) + (- ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 3)) is Element of the carrier of (GF p)
the addF of (GF p) . (((((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)),(- ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 3))) is Element of the carrier of (GF p)
g2 is Element of the carrier of (GF p)
(((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))),2) is set
g2 * ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (g2,((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2)) is Element of the carrier of (GF p)
(g2 * ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2)) * (p,(p,z),(p,z),P) is Element of the carrier of (GF p)
the multF of (GF p) . ((g2 * ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2)),(p,(p,z),(p,z),P)) is Element of the carrier of (GF p)
((g2 * ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2)) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((g2 * ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2)) * (p,(p,z),(p,z),P)),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(((((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) - ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 3)) - (((g2 * ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2)) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
- (((g2 * ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2)) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(((((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) - ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 3)) + (- (((g2 * ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2)) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
the addF of (GF p) . ((((((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) - ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 3)),(- (((g2 * ((((p,(p,z),(p,z),Q) * (p,(p,z),(p,z),P)) - ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),Q))) |^ 2)) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
gf2 is Element of the carrier of (GF p)
gf3 is Element of the carrier of (GF p)
gf2 * gf3 is Element of the carrier of (GF p)
the multF of (GF p) . (gf2,gf3) is Element of the carrier of (GF p)
gf1 is Element of the carrier of (GF p)
gf2 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf2,2) is set
(gf2 |^ 2) * (p,(p,z),(p,z),P) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf2 |^ 2),(p,(p,z),(p,z),P)) is Element of the carrier of (GF p)
((gf2 |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf2 |^ 2) * (p,(p,z),(p,z),P)),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(((gf2 |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) - gf3 is Element of the carrier of (GF p)
- gf3 is Element of the carrier of (GF p)
(((gf2 |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) + (- gf3) is Element of the carrier of (GF p)
the addF of (GF p) . ((((gf2 |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)),(- gf3)) is Element of the carrier of (GF p)
gf1 * ((((gf2 |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) - gf3) is Element of the carrier of (GF p)
the multF of (GF p) . (gf1,((((gf2 |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) - gf3)) is Element of the carrier of (GF p)
gf2 |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (gf2,3) is set
(gf2 |^ 3) * (p,(p,z),(p,z),P) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf2 |^ 3),(p,(p,z),(p,z),P)) is Element of the carrier of (GF p)
((gf2 |^ 3) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf2 |^ 3) * (p,(p,z),(p,z),P)),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(gf1 * ((((gf2 |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) - gf3)) - (((gf2 |^ 3) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
- (((gf2 |^ 3) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
(gf1 * ((((gf2 |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) - gf3)) + (- (((gf2 |^ 3) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf1 * ((((gf2 |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) - gf3)),(- (((gf2 |^ 3) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)))) is Element of the carrier of (GF p)
(gf2 |^ 3) * (p,(p,z),(p,z),P) is Element of the carrier of (GF p)
the multF of (GF p) . ((gf2 |^ 3),(p,(p,z),(p,z),P)) is Element of the carrier of (GF p)
((gf2 |^ 3) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q) is Element of the carrier of (GF p)
the multF of (GF p) . (((gf2 |^ 3) * (p,(p,z),(p,z),P)),(p,(p,z),(p,z),Q)) is Element of the carrier of (GF p)
[(gf2 * gf3),((gf1 * ((((gf2 |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) - gf3)) - (((gf2 |^ 3) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q))),(((gf2 |^ 3) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23((gf2 * gf3),((gf1 * ((((gf2 |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) - gf3)) - (((gf2 |^ 3) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)))) is V29() set
K23(K23((gf2 * gf3),((gf1 * ((((gf2 |^ 2) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)) - gf3)) - (((gf2 |^ 3) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q)))),(((gf2 |^ 3) * (p,(p,z),(p,z),P)) * (p,(p,z),(p,z),Q))) is V29() set
O is Element of EC_SetProjCo ((p,z),(p,z),p)
(p,(p,z),(p,z),P) is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) |^ 2 is Element of the carrier of (GF p)
power (GF p) is V18() Function-like V32([: the carrier of (GF p),NAT:], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):]
[: the carrier of (GF p),NAT:] is non empty V18() set
[:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p),NAT:], the carrier of (GF p):] is non empty set
(power (GF p)) . ((p,(p,z),(p,z),P),2) is set
(p,z) * ((p,(p,z),(p,z),P) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
[:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty V18() set
bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):] is non empty set
the multF of (GF p) . ((p,z),((p,(p,z),(p,z),P) |^ 2)) is Element of the carrier of (GF p)
g3 is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),P),2) is set
g3 * ((p,(p,z),(p,z),P) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (g3,((p,(p,z),(p,z),P) |^ 2)) is Element of the carrier of (GF p)
((p,z) * ((p,(p,z),(p,z),P) |^ 2)) + (g3 * ((p,(p,z),(p,z),P) |^ 2)) is Element of the carrier of (GF p)
the addF of (GF p) is V18() Function-like V32([: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p)) Element of bool [:[: the carrier of (GF p), the carrier of (GF p):], the carrier of (GF p):]
the addF of (GF p) . (((p,z) * ((p,(p,z),(p,z),P) |^ 2)),(g3 * ((p,(p,z),(p,z),P) |^ 2))) is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) * (p,(p,z),(p,z),P) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),P),(p,(p,z),(p,z),P)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) * (p,(p,z),(p,z),P) is Element of the carrier of (GF p)
the multF of (GF p) . ((p,(p,z),(p,z),P),(p,(p,z),(p,z),P)) is Element of the carrier of (GF p)
((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P)) * ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P)) is Element of the carrier of (GF p)
the multF of (GF p) . (((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P)),((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P))) is Element of the carrier of (GF p)
(((p,z) * ((p,(p,z),(p,z),P) |^ 2)) + (g3 * ((p,(p,z),(p,z),P) |^ 2))) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((((p,z) * ((p,(p,z),(p,z),P) |^ 2)) + (g3 * ((p,(p,z),(p,z),P) |^ 2))),2) is set
g8 is Element of the carrier of (GF p)
g8 * (((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P)) * ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P))) is Element of the carrier of (GF p)
the multF of (GF p) . (g8,(((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P)) * ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P)))) is Element of the carrier of (GF p)
((((p,z) * ((p,(p,z),(p,z),P) |^ 2)) + (g3 * ((p,(p,z),(p,z),P) |^ 2))) |^ 2) - (g8 * (((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P)) * ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P)))) is Element of the carrier of (GF p)
- (g8 * (((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P)) * ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P)))) is Element of the carrier of (GF p)
((((p,z) * ((p,(p,z),(p,z),P) |^ 2)) + (g3 * ((p,(p,z),(p,z),P) |^ 2))) |^ 2) + (- (g8 * (((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P)) * ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P))))) is Element of the carrier of (GF p)
the addF of (GF p) . (((((p,z) * ((p,(p,z),(p,z),P) |^ 2)) + (g3 * ((p,(p,z),(p,z),P) |^ 2))) |^ 2),(- (g8 * (((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P)) * ((p,(p,z),(p,z),P) * (p,(p,z),(p,z),P)))))) is Element of the carrier of (GF p)
g2 is Element of the carrier of (GF p)
gf4 is Element of the carrier of (GF p)
g2 * gf4 is Element of the carrier of (GF p)
the multF of (GF p) . (g2,gf4) is Element of the carrier of (GF p)
gf2 is Element of the carrier of (GF p)
(g2 * gf4) * gf2 is Element of the carrier of (GF p)
the multF of (GF p) . ((g2 * gf4),gf2) is Element of the carrier of (GF p)
gf1 is Element of the carrier of (GF p)
g4 is Element of the carrier of (GF p)
gf3 is Element of the carrier of (GF p)
g4 * gf3 is Element of the carrier of (GF p)
the multF of (GF p) . (g4,gf3) is Element of the carrier of (GF p)
(g4 * gf3) - gf4 is Element of the carrier of (GF p)
- gf4 is Element of the carrier of (GF p)
(g4 * gf3) + (- gf4) is Element of the carrier of (GF p)
the addF of (GF p) . ((g4 * gf3),(- gf4)) is Element of the carrier of (GF p)
gf1 * ((g4 * gf3) - gf4) is Element of the carrier of (GF p)
the multF of (GF p) . (gf1,((g4 * gf3) - gf4)) is Element of the carrier of (GF p)
(p,(p,z),(p,z),P) |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . ((p,(p,z),(p,z),P),2) is set
g8 * ((p,(p,z),(p,z),P) |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . (g8,((p,(p,z),(p,z),P) |^ 2)) is Element of the carrier of (GF p)
gf2 |^ 2 is Element of the carrier of (GF p)
(power (GF p)) . (gf2,2) is set
(g8 * ((p,(p,z),(p,z),P) |^ 2)) * (gf2 |^ 2) is Element of the carrier of (GF p)
the multF of (GF p) . ((g8 * ((p,(p,z),(p,z),P) |^ 2)),(gf2 |^ 2)) is Element of the carrier of (GF p)
(gf1 * ((g4 * gf3) - gf4)) - ((g8 * ((p,(p,z),(p,z),P) |^ 2)) * (gf2 |^ 2)) is Element of the carrier of (GF p)
- ((g8 * ((p,(p,z),(p,z),P) |^ 2)) * (gf2 |^ 2)) is Element of the carrier of (GF p)
(gf1 * ((g4 * gf3) - gf4)) + (- ((g8 * ((p,(p,z),(p,z),P) |^ 2)) * (gf2 |^ 2))) is Element of the carrier of (GF p)
the addF of (GF p) . ((gf1 * ((g4 * gf3) - gf4)),(- ((g8 * ((p,(p,z),(p,z),P) |^ 2)) * (gf2 |^ 2)))) is Element of the carrier of (GF p)
gf2 |^ 3 is Element of the carrier of (GF p)
(power (GF p)) . (gf2,3) is set
g8 * (gf2 |^ 3) is Element of the carrier of (GF p)
the multF of (GF p) . (g8,(gf2 |^ 3)) is Element of the carrier of (GF p)
[((g2 * gf4) * gf2),((gf1 * ((g4 * gf3) - gf4)) - ((g8 * ((p,(p,z),(p,z),P) |^ 2)) * (gf2 |^ 2))),(g8 * (gf2 |^ 3))] is V29() triple Element of [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
K23(((g2 * gf4) * gf2),((gf1 * ((g4 * gf3) - gf4)) - ((g8 * ((p,(p,z),(p,z),P) |^ 2)) * (gf2 |^ 2)))) is V29() set
K23(K23(((g2 * gf4) * gf2),((gf1 * ((g4 * gf3) - gf4)) - ((g8 * ((p,(p,z),(p,z),P) |^ 2)) * (gf2 |^ 2)))),(g8 * (gf2 |^ 3))) is V29() set
O is Element of EC_SetProjCo ((p,z),(p,z),p)
R is V18() Function-like V32([:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):], EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):],(EC_SetProjCo ((p,z),(p,z),p)):]
o2 is V18() Function-like V32([:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):], EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):],(EC_SetProjCo ((p,z),(p,z),p)):]
p is non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer prime ext-real (5) set
GF p is non empty non degenerated non trivial right_complementable almost_left_invertible strict V147() V148() V149() unital V166() V168() V170() right-distributive left-distributive right_unital well-unital V183() left_unital doubleLoopStr
the carrier of (GF p) is non empty non trivial set
[: the carrier of (GF p), the carrier of (GF p):] is non empty V18() set
(p) is non empty V18() Element of bool [: the carrier of (GF p), the carrier of (GF p):]
bool [: the carrier of (GF p), the carrier of (GF p):] is non empty set
0. (GF p) is V55( GF p) Element of the carrier of (GF p)
{ [b₁,b₂] where b₁, b₂ is Element of the carrier of (GF p) : not Disc (b₁,b₂,p) = 0. (GF p) } is set
ProjCo (GF p) is non empty Element of bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):]
[: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
bool [: the carrier of (GF p), the carrier of (GF p), the carrier of (GF p):] is non empty set
z is Element of (p)
(p,z) is Element of the carrier of (GF p)
(p,z) is Element of the carrier of (GF p)
EC_SetProjCo ((p,z),(p,z),p) is non empty Element of bool (ProjCo (GF p))
bool (ProjCo (GF p)) is non empty set
[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() Element of bool [:(ProjCo (GF p)),(ProjCo (GF p)):]
[:(ProjCo (GF p)),(ProjCo (GF p)):] is non empty V18() set
bool [:(ProjCo (GF p)),(ProjCo (GF p)):] is non empty set
[:[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):],(EC_SetProjCo ((p,z),(p,z),p)):] is non empty V18() set
bool [:[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):],(EC_SetProjCo ((p,z),(p,z),p)):] is non empty set
F is V18() Function-like V32([:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):], EC_SetProjCo ((p,z),(p,z),p)) Element of bool [:[:(EC_SetProjCo ((p,z),(p,z),p)),(EC_SetProjCo ((p,z),(p,z),p)):],(EC_SetProjCo ((p,z),(p,z),p)):]
Q is Element of EC_SetProjCo ((p,z),(p,z),p)
R is Element of EC_SetProjCo ((p,z),(p,z),p)
F . (Q,R) is set
F . (Q,R) is Element of EC_SetProjCo ((p,z),(p,z),p)