theorem
  for V being strict RightMod of R, W being strict Submodule of V holds
  the carrier of W = the carrier of V implies W = V
proof
  let V be strict RightMod of R, W be strict Submodule of V;
  assume
A1: the carrier of W = the carrier of V;
  V is Submodule of V by Th24;
  hence thesis by A1,Th29;
end;
