
theorem
  Omega Sierpinski_Space = Sigma BoolePoset{0}
proof
  set S = Sigma BoolePoset{0};
  reconsider T = Omega Sierpinski_Space as Scott strict TopAugmentation of
  BoolePoset{0} by WAYBEL26:4;
A1: the topology of T = sigma BoolePoset{0} by YELLOW_9:51
    .= the topology of S by YELLOW_9:51;
  the RelStr of T = BoolePoset{0} by YELLOW_9:def 4
    .= the RelStr of S by YELLOW_9:def 4;
  hence thesis by A1;
end;
