theorem
  for p being Point of TOP-REAL 2 ex q being Point of TOP-REAL 2 st q`2
  < S-bound D & p <> q
proof
  let p be Point of TOP-REAL 2;
  take q = |[p`1 - 1,S-bound D - 1]|;
  S-bound D - 1 < S-bound D - 0 by XREAL_1:15;
  hence q`2 < S-bound D;
  thus thesis;
end;
