theorem :: VECTSP_5:23

for GF being non empty right_complementable well-unital distributive Abelian add-associative right_zeroed associative doubleLoopStr
for M being non empty right_complementable vector-distributive scalar-distributive scalar-associative scalar-unital Abelian add-associative right_zeroed ModuleStr over GF
for W1, W2 being Subspace of M holds W1 /\ W2 is Subspace of W1 + W2 by Lm9, VECTSP_4:27;