reserve UA for Universal_Algebra;
reserve S for non void non empty ManySortedSign,
  U1 for non-empty MSAlgebra over S;

theorem Th8:
  for f1, f2 be Element of MSAEnd U1 holds f1 ** f2 in MSAEnd U1
proof
  let f1, f2 be Element of MSAEnd U1;
  f1 is_homomorphism U1, U1 & f2 is_homomorphism U1, U1 by Def4;
  then f1 ** f2 is_homomorphism U1, U1 by MSUALG_3:10;
  hence thesis by Def4;
end;
