Definition lattice_SE2NW {X : hSet} (b : interlaced_prebilattice X) : lattice (setquotinset (rel_same_SE2NW b)) := lattice_SW2NE (make_interlaced_prebilattice (t_opp_prebilattice_is_interlaced b)).
Require Import UniMath.OrderTheory.Prebilattice.Prebilattice. Require Import UniMath.OrderTheory.Prebilattice.Interlaced. Require Import UniMath.OrderTheory.Prebilattice.PrebilatticeDisplayedCat. Require Import UniMath.MoreFoundations.Equivalences. Require Import UniMath.Foundations.Sets. Require Import UniMath.Algebra.BinaryOperations. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.OrderTheory.Lattice.Bounded. Require Import UniMath.CategoryTheory.Core.Prelude.