
theorem Th35:
  for V,W be VectSp of F_Complex, v be Vector of V, w,t be Vector
of W for f be additiveFAF cmplxhomogeneousFAF Form of V,W holds f.(v,w-t) = f.(
  v,w) - f.(v,t)
proof
  set K = F_Complex;
  let V,W be VectSp of K, v1 be Vector of V, w,w2 be Vector of W, f be
  additiveFAF cmplxhomogeneousFAF Form of V,W;
  thus f.(v1,w-w2) = f.(v1,w) + f.(v1,-w2) by BILINEAR:27
    .= f.(v1,w) + f.(v1,(-1_K)* w2) by VECTSP_1:14
    .= f.(v1,w) + (-(1.F_Complex))*' *f.(v1,w2) by Th27
    .= f.(v1,w) + (-1_K) *f.(v1,w2) by COMPLFLD:49,52
    .= f.(v1,w) - f.(v1,w2) by VECTSP_6:48;
end;
