
theorem
  for L being upper-bounded antisymmetric non empty RelStr holds
  downarrow Top L = the carrier of L
proof
  let L be upper-bounded antisymmetric non empty RelStr;
  set uL = downarrow Top L, cL = the carrier of L;
   for x being object holds x in uL iff x in cL by WAYBEL_0:17,YELLOW_0:45;
  hence thesis by TARSKI:2;
end;
