
theorem LMQ08:
  for V be RealLinearSpace, W be Subspace of V
  holds 0. VectQuot(V,W) = zeroCoset(V,W)
  proof
    let V be RealLinearSpace, W be Subspace of V;
    set X = RLSp2RVSp V;
    set Y = RLSp2RVSp W;
    thus 0. VectQuot(V,W) = 0.VectQuot(X,Y)
                         .= zeroCoset(X,Y) by VECTSP10:def 6
                         .= zeroCoset(V,W);
  end;
