theorem Th36:
  the carrier of FixPoints f = {x where x is Element of L: x
  is_a_fixpoint_of f}
proof
  ex P being non empty with_suprema with_infima Subset of L st P = {x
where x is Element of L: x is_a_fixpoint_of f} & FixPoints f = latt P by Def9;
  hence thesis by Def8;
end;
