Lemma iscomp_consensus_rel_same_SE2NW {X : hSet} (b : interlaced_prebilattice X) : iscomprelrelfun2 (eqrel_same_SE2NW b) (eqrel_same_SE2NW b) (consensus b) . Proof. exact (iscomp_consensus_rel_same_SW2NE (make_interlaced_prebilattice (t_opp_prebilattice_is_interlaced b))). Defined.
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.