
theorem Th62:
  for V,W be VectSp of F_Complex, f be sesquilinear-Form of V,W
  holds LKer f = LKer (RQ*Form f)
proof
  set K = F_Complex;
  let V,W be VectSp of K, f be sesquilinear-Form of V,W;
  the carrier of (LKer f) = leftker f by BILINEAR:def 18
    .= leftker (RQ*Form f) by Th60
    .= the carrier of (LKer (RQ*Form f)) by BILINEAR:def 18;
  hence thesis by VECTSP_4:29;
end;
