:: deftheorem Def6 defines Coset VECTSP_4:def 6 :
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 W being Subspace of V
for b₄ being Subset of V holds
( b₄ is Coset of W iff ex v being Element of V st b₄ = v + W );