theorem
  for p being Point of TOP-REAL 2 ex q being Point of TOP-REAL 2 st q`2
  > N-bound D & p <> q
proof
  let p be Point of TOP-REAL 2;
  take q = |[p`1 - 1,N-bound D + 1]|;
  N-bound D + 1 > N-bound D + 0 by XREAL_1:6;
  hence q`2 > N-bound D;
  thus thesis;
end;
