reserve x for set;

theorem Th10:
  for L being /\-complete up-complete Semilattice for X being
  lim-inf TopAugmentation of L holds xi L = the topology of X
proof
  let L be /\-complete up-complete Semilattice;
  let X be lim-inf TopAugmentation of L;
  the topology of X = xi X & the RelStr of X = the RelStr of L by Def2,
YELLOW_9:def 4;
  hence thesis by Th9;
end;
