 reserve n for Nat;

theorem
   for R being Ring, S being R-homomorphic Ring
   for h being Homomorphism of R,S
   for p,q being Element of the carrier of Polynom-Ring R
   holds (PolyHom h).(p*q) = (PolyHom h).p * (PolyHom h).q by GROUP_6:def 6;
