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 Th8:
  for F being strict Morphism of G,H ex f being Function of G,H st
  F = LModMorphismStr(#G,H,f#)
proof
  let F be strict Morphism of G,H;
  consider f being Function of G,H such that
A1: the LModMorphismStr of F = LModMorphismStr(#G,H,f#) and
  f is additive homogeneous by Th7;
  take f;
  thus thesis by A1;
end;
