
theorem Th6:
  for X being non empty TopSpace holds InclPoset the topology of X,
  oContMaps(X, Sierpinski_Space) are_isomorphic
proof
  let X be non empty TopSpace;
  consider f being Function of InclPoset the topology of X, oContMaps(X,
  Sierpinski_Space) such that
A1: f is isomorphic and
  for V being open Subset of X holds f.V = chi(V, the carrier of X) by Th5;
  take f;
  thus thesis by A1;
end;
