consider G, H being LeftMod of R;
set z = ZERO G,H;
( fun (ZERO G,H) is additive & fun (ZERO G,H) is homogeneous ) ;
then ZERO G,H is LModMorphism-like by Def10;
hence ex b₁ being LModMorphismStr of R st
( b₁ is strict & b₁ is LModMorphism-like ) ; :: thesis: verum