reserve R for Ring,
  V for RightMod of R,
  W,W1,W2,W3 for Submodule of V,
  u,u1, u2,v,v1,v2 for Vector of V,
  x,y,y1,y2 for object;

theorem
  for V being strict RightMod of R holds V in Submodules(V)
proof
  let V be strict RightMod of R;
  ex W9 being strict Submodule of V st the carrier of (Omega).V = the
  carrier of W9;
  hence thesis by Def3;
end;
