theorem Th77: :: VECTSP_4:77

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 u being Element of V
for W being Subspace of V
for C being Coset of W holds
( u in C iff C = u + W )