Lemma dual_prebilattice_is_interlaced {X : hSet} (b : interlaced_prebilattice X) : is_interlaced (dual_prebilattice b). Proof. destruct b as [? [? [? [? ?]]]] . do 3 (try split); assumption . Defined.
Require Import UniMath.OrderTheory.Prebilattice.Prebilattice. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Subtypes. Require Import UniMath.Algebra.BinaryOperations.