 reserve n for Nat;

theorem
   for R being Ring, S being R-homomorphic Ring
   for h being Homomorphism of R,S
   for F,G being FinSequence of R
   holds h.(Product(F^G)) = h.(Product F) * h.(Product G)
   proof
     let R be Ring, S be R-homomorphic Ring; let h be Homomorphism of R,S;
     let F,G be FinSequence of R;
     thus h.(Product(F^G)) = h.(Product F * Product G) by GROUP_4:5
     .= h.(Product F) * h.(Product G) by GROUP_6:def 6;
   end;
