 reserve n for Nat;

theorem
   for R being Ring, S being R-homomorphic Ring
   for h being Homomorphism of R,S holds h.(Sum <*>(the carrier of R)) = 0.S
   proof
     let R be Ring, S be R-homomorphic Ring; let h be Homomorphism of R,S;
     thus
     h.(Sum <*>(the carrier of R)) = h.(0.R) by RLVECT_1:43 .= 0.S by RING_2:6;
   end;
