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

theorem Th12:
  for f be Element of UAEnd UA holds 0 .--> f is
  ManySortedFunction of MSAlg UA, MSAlg UA
proof
  let f be Element of UAEnd UA;
  MSAlg f is ManySortedFunction of MSAlg UA, MSAlg UA by MSUHOM_1:9;
  hence thesis by MSUHOM_1:def 3;
end;
