
theorem Th7: :: PROPOSITION 4.6 (ii) (a)
  for T be T_0 non empty TopSpace for L1 be continuous
sup-Semilattice st InclPoset the topology of T = L1 holds card the carrier of T
  c= card the carrier of L1
proof
  let T be T_0 non empty TopSpace;
  let L1 be continuous sup-Semilattice;
A1: card the carrier of T c= card the topology of T by YELLOW15:28;
  assume InclPoset the topology of T = L1;
  hence thesis by A1,YELLOW_1:1;
end;
