for D being non empty set
for F, G being BinOp of D
for i being Nat
for T1, T2 being Element of i -tuples_on D st F is commutative & F is associative & F is having_a_unity & F is having_an_inverseOp & G = F * ((id D),(the_inverseOp_wrt F)) holds
G . ((F "**" T1),(F "**" T2)) = F "**" (G .: (T1,T2))