
theorem Th56:
  for V be VectSp of F_Complex, f be diagReR+0valued hermitan-Form
  of V holds LKer f = RKer (f*')
proof
  let V be VectSp of F_Complex, f be diagReR+0valued hermitan-Form of V;
  the carrier of LKer(f) = leftker f by BILINEAR:def 18
    .= diagker f by Th52
    .= rightker f by Th53
    .= rightker (f*') by Th55
    .= the carrier of RKer (f*') by BILINEAR:def 19;
  hence thesis by VECTSP_4:29;
end;
