reserve T for TopSpace;
reserve T for non empty TopSpace;
reserve F for Subset-Family of T;
reserve T for non empty TopSpace;
reserve T for non empty TopSpace;

theorem Th85:
  the carrier of Domains_Lattice T = Domains_of T
proof
  Domains_Lattice T = LattStr(#Domains_of T,D-Union T,D-Meet T#) by
TDLAT_1:def 4;
  hence thesis;
end;
