let GF be non empty right_complementable associative well-unital distributive Abelian add-associative right_zeroed doubleLoopStr ; :: thesis: for V being non empty right_complementable VectSp-like Abelian add-associative right_zeroed VectSpStr of GF
for W being Subspace of V holds (0). V is Subspace of W
let V be non empty right_complementable VectSp-like Abelian add-associative right_zeroed VectSpStr of GF; :: thesis: for W being Subspace of V holds (0). V is Subspace of W
let W be Subspace of V; :: thesis: (0). V is Subspace of W
(0). W = (0). V by Th47;
hence (0). V is Subspace of W ; :: thesis: verum