reserve UA for Universal_Algebra;

theorem Th3:
  for f1, f2 be Element of UAEnd UA holds f1 * f2 in UAEnd UA
proof
  let f1, f2 be Element of UAEnd UA;
  f1 is_homomorphism & f2 is_homomorphism by Def1;
  then f1 * f2 is_homomorphism by ALG_1:6;
  hence thesis by Def1;
end;
