
theorem Th26:
  for L being non empty reflexive RelStr, x being set holds x is
Element of DsupClOpers L iff x is directed-sups-preserving closure Function of
  L,L
proof
  let L be non empty reflexive RelStr, x be set;
  x is Element of ClOpers L iff x is closure Function of L,L by Th10;
  hence thesis by Def6,YELLOW_0:58;
end;
