reserve n for Nat;

theorem Th14:
  for P be Simple_closed_curve holds W-min(P) <> E-min(P)
proof
  let P be Simple_closed_curve;
  now
    assume W-min(P) = E-min(P);
    then W-bound P= E-bound P by SPPOL_2:1;
    hence contradiction by TOPREAL5:17;
  end;
  hence thesis;
end;
