
theorem Th61:
  for V,W be VectSp of F_Complex, f be sesquilinear-Form of V,W
  holds RKer f*' = RKer (LQForm f)*'
proof
  set K = F_Complex;
  let V,W be VectSp of K, f be sesquilinear-Form of V,W;
  the carrier of (RKer f*') = rightker f*' by BILINEAR:def 19
    .= rightker f by Th55
    .= rightker (LQForm f) by BILINEAR:44
    .= rightker ((LQForm f)*') by Th55
    .= the carrier of (RKer (LQForm f)*') by BILINEAR:def 19;
  hence thesis by VECTSP_4:29;
end;
