theorem
  for M being strict Abelian add-associative right_zeroed
  right_complementable vector-distributive scalar-distributive
  scalar-associative scalar-unital non empty ModuleStr over GF holds M in
  Subspaces(M)
proof
  let M be strict Abelian add-associative right_zeroed right_complementable
  vector-distributive scalar-distributive scalar-associative scalar-unital
   non empty ModuleStr over GF;
  ex W9 being strict Subspace of M st the carrier of (Omega).M = the
  carrier of W9;
  hence thesis by Def3;
end;
