Lemma is_distributive_tlattice {X : hSet} (b : distributive_prebilattice X) : is_distributive (tlattice b). Proof. intros x y z. exact(pr122 b y z x). Defined.
Require Import UniMath.OrderTheory.Prebilattice.Prebilattice. Require Import UniMath.OrderTheory.Prebilattice.Interlaced. Require Import UniMath.Foundations.Sets. Require Import UniMath.Algebra.BinaryOperations. Require Import UniMath.OrderTheory.Lattice.Distributive.