 reserve L for Lattice;
 reserve I,P for non empty ClosedSubset of L;
reserve L for lower-bounded pseudocomplemented Lattice;

theorem Th11:
  for L being pseudocomplemented bounded Lattice holds (Bottom L)* = Top L
  proof
    let L be pseudocomplemented bounded Lattice;
    Top L is_a_pseudocomplement_of Bottom L by LATTICES:19;
    hence (Bottom L)* = Top L by def3;
  end;
