Definition bounded_lattice_set_of_sieves : bounded_lattice set_of_sieves. Proof. use make_bounded_lattice. - exact lattice_set_of_sieves. - exact empty_sieve. - exact full_sieve. - exact bounded_lattice_laws_set_of_sieves. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.Algebra.BinaryOperations. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.OrderTheory.Lattice.Bounded. Require Import UniMath.OrderTheory.Lattice.Distributive. Require Import UniMath.OrderTheory.Lattice.Heyting. Require Import UniMath.OrderTheory.Lattice.CompleteHeyting. Require Import UniMath.OrderTheory.Lattice.Examples.FromPartialOrder.