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