
theorem
  for D being Simple_closed_curve holds (TOP-REAL 2) | R^2-unit_square,
  (TOP-REAL 2) | D are_homeomorphic
proof
  let D be Simple_closed_curve;
  ex f being Function of (TOP-REAL 2)|R^2-unit_square, (TOP-REAL 2)|D st f
  is being_homeomorphism by TOPREAL2:def 1;
  hence thesis by T_0TOPSP:def 1;
end;
