
theorem Th32:
  for V,W be non empty ModuleStr over F_Complex, f be Form of V,W
  holds (-f)*'=-(f*')
proof
  let V,W be non empty ModuleStr over F_Complex, f be Form of V,W;
  now
    let v be Vector of V,w be Vector of W;
    thus (-f)*'.(v,w) = ((-f).(v,w))*' by Def8
      .= (-f.(v,w))*' by BILINEAR:def 4
      .= -(f.(v,w))*' by COMPLFLD:52
      .= -(f*'.(v,w)) by Def8
      .= (-(f*')).(v,w) by BILINEAR:def 4;
  end;
  hence thesis;
end;
