
theorem Th64: :: PROPOSITION 4.3.(ii)
  for L be lower-bounded continuous sup-Semilattice for B be
with_bottom CLbasis of L holds supMap subrelstr B is upper_adjoint & baseMap B
  is lower_adjoint
proof
  let L be lower-bounded continuous sup-Semilattice;
  let B be with_bottom CLbasis of L;
  [supMap subrelstr B,baseMap B] is Galois by Th63;
  hence thesis by WAYBEL_1:9;
end;
