
theorem Th5:
  for L1, L2 being complete LATTICE, T1 being Scott TopAugmentation
of L1, T2 being Scott TopAugmentation of L2 st L1, L2 are_isomorphic holds T1,
  T2 are_homeomorphic
proof
  let L1, L2 be complete LATTICE, T1 be Scott TopAugmentation of L1, T2 be
  Scott TopAugmentation of L2;
  given h being Function of L1, L2 such that
A1: h is isomorphic;
A2: the RelStr of L2 = the RelStr of T2 by YELLOW_9:def 4;
  the RelStr of L1 = the RelStr of T1 by YELLOW_9:def 4;
  then reconsider H = h as Function of T1, T2 by A2;
  take H;
  thus thesis by A1,Th4;
end;
