theorem :: VECTSP_4:72

for GF being non empty right_complementable well-unital distributive Abelian add-associative right_zeroed associative doubleLoopStr
for V being non empty right_complementable vector-distributive scalar-distributive scalar-associative scalar-unital Abelian add-associative right_zeroed ModuleStr over GF
for V1 being Subset of V st V1 is Coset of (0). V holds
ex v being Element of V st V1 = {v}