
theorem LMQ13:
  for V be RealLinearSpace, W be Subspace of V
  holds 0.VectQuot(V,W) = the carrier of W & 0.VectQuot(V,W) = 0.V + W
  proof
    let V be RealLinearSpace, W be Subspace of V;
    thus 0. VectQuot(V,W) = zeroCoset(V,W) by LMQ08
                         .= the carrier of W;
    hence 0. VectQuot(V,W) = 0.V + W by RLSUB_1:44;
  end;
