
theorem LMQ06:
  for V be RealLinearSpace, W be Subspace of V
  holds the carrier of VectQuot(V,W) = CosetSet(V,W)
  proof
    let V be RealLinearSpace, W be Subspace of V;
    set X = RLSp2RVSp V;
    set Y = RLSp2RVSp W;
    thus the carrier of VectQuot(V,W) = CosetSet(X,Y) by VECTSP10:def 6
                                     .= CosetSet(V,W) by LMQ05;
  end;
