
theorem
  for K be add-associative right_zeroed right_complementable Abelian
associative well-unital distributive non empty doubleLoopStr for V be VectSp
  of K, W be Subspace of V, A be Coset of W holds A is Vector of VectQuot(V,W)
proof
  let K be add-associative right_zeroed right_complementable Abelian
associative well-unital distributive non empty doubleLoopStr, V be VectSp of
  K, W be Subspace of V, A be Coset of W;
  set cs = CosetSet(V,W);
  A in cs;
  hence thesis by Def6;
end;
