theorem
  for h being ManySortedFunction of Free(S,X), T holds
  h is Homomorphism of Free(S,X),T iff h is_homomorphism Free(S,X), T
  proof
    let h be ManySortedFunction of Free(S,X), T;
    canonical_homomorphism T is_homomorphism Free(S,X), T by MSAFREE4:def 10;
    hence thesis by HOMO;
  end;
