Lemma interlacing_join_k {X : hSet} (b : interlaced_prebilattice X) : interlacing (join b) (kle b) . Proof. exact (pr2 (pr2 (pr2 (pr2 b)))) . 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.