theorem BLTh10:
  for V, W being non empty ModuleStr over INT.Ring, v being Vector of V holds
  FunctionalFAF(NulForm(V,W),v) = 0Functional(W)
  proof
    let V, W be non empty ModuleStr over INT.Ring, v be Vector of V;
    set N = NulForm(V,W);
    now
      let y be Vector of W;
      thus FunctionalFAF(N,v).y = N.(v,y) by BLTh8
      .= 0.INT.Ring by FUNCOP_1:70
      .= (0Functional(W)).y;
    end;
    hence thesis by FUNCT_2:63;
  end;
