reserve x,y for set;
reserve D for non empty set;
reserve UN for Universe;
reserve R for Ring;
reserve G,H for LeftMod of R;
reserve V for LeftMod_DOMAIN of R;

theorem Th1:
  for f being strict LModMorphism of R holds {f} is LModMorphism_DOMAIN of R
proof
  let f be strict LModMorphism of R;
  for x be Element of {f} holds x is strict LModMorphism of R by TARSKI:def 1;
  hence thesis by Def2;
end;
