
theorem HTh11:
  for V, W being non empty ModuleStr over INT.Ring, w being Vector of W holds
  FrFunctionalSAF(NulFrForm(V,W),w) = 0FrFunctional(V)
  proof
    let V, W be non empty ModuleStr over INT.Ring, y be Vector of W;
    set N = NulFrForm(V,W);
    now
      let v be Vector of V;
      thus FrFunctionalSAF(N,y).v = N.(v,y) by HTh9
      .= 0.INT.Ring by FUNCOP_1:70
      .= (0FrFunctional(V)).v by FUNCOP_1:7;
    end;
    hence thesis by FUNCT_2:63;
  end;
