
theorem Th10:
  for L being lower-bounded antisymmetric non empty RelStr holds
  uparrow Bottom L = the carrier of L
proof
  let L be lower-bounded antisymmetric non empty RelStr;
  set uL = uparrow Bottom L, cL = the carrier of L;
  for x being object holds x in uL iff x in cL by WAYBEL_0:18,YELLOW_0:44;
  hence thesis by TARSKI:2;
end;
