
theorem HTh30:
  for V, W being right_zeroed non empty ModuleStr over INT.Ring,
  f being additiveSAF FrForm of V,W, w being Vector of W holds
  f.(0.V,w) = 0.INT.Ring
  proof
    let V, W be right_zeroed non empty ModuleStr over INT.Ring;
    let f be additiveSAF FrForm of V,W, v be Vector of W;
    f.(0.V,v) = f.(0.V+0.V,v) by RLVECT_1:def 4
    .= f.(0.V,v) + f.(0.V,v) by HTh26;
    hence thesis;
  end;
