reserve C for Simple_closed_curve,
  P for Subset of TOP-REAL 2,
  p for Point of TOP-REAL 2,
  n for Element of NAT;

theorem
  for p being Point of TOP-REAL n holds {p} is bounded
proof
  let p be Point of TOP-REAL n;
  reconsider a = p as Point of Euclid n by EUCLID:67;
  {a} is bounded by TBSP_1:15;
  hence thesis by JORDAN2C:11;
end;
