
theorem Th15:
  for S being Scott up-complete non empty TopPoset holds Sigma S
  = the TopRelStr of S
proof
  let S be Scott up-complete non empty TopPoset;
  the RelStr of the TopRelStr of S = the RelStr of S;
  then reconsider T = the TopRelStr of S as TopAugmentation of S by
YELLOW_9:def 4;
  T is Scott by Th14;
  hence thesis by Def1;
end;
