
theorem
  for T being non empty TopSpace holds T_0-reflex(T) is T_0-TopSpace
proof
  let T be non empty TopSpace;
  for x,y being Point of T_0-reflex(T) st not x = y ex A being Subset of
T_0-reflex(T) st A is open & ( x in A & not y in A or y in A & not x in A ) by
Lm1;
  hence thesis by Def7;
end;
