reserve K for Ring,
  V1,W1 for VectSp of K;
reserve F for Field,
  V,W for VectSp of F;
reserve T for linear-transformation of V,W;

theorem Th16:
  for V being finite-dimensional VectSp of F holds dim ((0).V) = 0
proof
  let V be finite-dimensional VectSp of F;
  (Omega).((0).V) = (0).((0).V) by VECTSP_4:36;
  hence thesis by VECTSP_9:29;
end;
