
theorem
  for V,W be non empty ModuleStr over F_Complex holds (NulForm(V,W))*' =
  NulForm(V,W)
proof
  let V,W be non empty ModuleStr over F_Complex;
  set f= NulForm(V,W);
  now
    let v be Vector of V,w be Vector of W;
    thus f*'.(v,w) = (f.(v,w))*' by Def8
      .= 0.F_Complex by COMPLFLD:47,FUNCOP_1:70
      .= f.(v,w) by FUNCOP_1:70;
  end;
  hence thesis;
end;
