
theorem :: THEOREM 4.23 (ii)
  for L be lower-bounded algebraic LATTICE for s be Element of L holds s
  = "/\" (uparrow s /\ Irr L,L)
proof
  let L be lower-bounded algebraic LATTICE;
  let s be Element of L;
  Irr L is order-generating by Th32;
  hence thesis by WAYBEL_6:def 5;
end;
