theorem :: FINSEQOP:74

for D being non empty set
for i being natural Number
for T1, T2 being Tuple of i,D
for F being BinOp of D st F is associative & F is having_an_inverseOp & F is having_a_unity & F .: (T1,T2) = i |-> (the_unity_wrt F) holds
( T1 = (the_inverseOp_wrt F) * T2 & (the_inverseOp_wrt F) * T1 = T2 )