
theorem
  for T being non empty TopStruct, t being Point of T, A being Subset of
  T st A = {t} holds Sspace(t) = T | A
proof
  let T be non empty TopStruct, t be Point of T, A be Subset of T such that
A1: A = {t};
  the carrier of Sspace(t) = {t} by TEX_2:def 2
    .= [#](T|A) by A1,PRE_TOPC:def 5
    .= the carrier of (T|A);
  hence thesis by TSEP_1:5;
end;
