
theorem Th27:
  for T being non empty reflexive transitive antisymmetric
  TA-structure for t being type of T holds ({} the adjectives of T) ast t = t
proof
  let T be non empty reflexive transitive antisymmetric TA-structure;
  let t be type of T;
  set A = {} the adjectives of T;
  types A = the carrier of T by Th16;
  then types A /\ downarrow t = downarrow t by XBOOLE_1:28;
  hence thesis by WAYBEL_0:34;
end;
