reserve D,D9 for non empty set;
reserve R for Ring;
reserve G,H,S for non empty ModuleStr over R;
reserve UN for Universe;
reserve R for Ring;
reserve G, H for LeftMod of R;
reserve G1, G2, G3 for LeftMod of R;
reserve f for LModMorphismStr over R;

theorem
  for f0 being Function of G1,G2 st f = LModMorphismStr(#G1,G2,f0#)
  holds dom f = G1 & cod f = G2 & fun f = f0;
