theorem
  v + (r*L) = r * (v+L)
  proof
    now let w;
      thus(v+(r*L)).w = (r*L).(w-v) by Def1
                     .= r*(L.(w-v)) by RLVECT_2:def 11
                     .= r*((v+L).w) by Def1
                     .= (r*(v+L)).w by RLVECT_2:def 11;
    end;
    hence thesis;
  end;
