Proposition from_le_regular_element_lattice {H : complete_heyting_algebra} {x y : regular_element H} (p : Lle (regular_element_lattice H) x y) : x ≤ y. Proof. exact (maponpaths pr1 p). Qed.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.Algebra.BinaryOperations. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.OrderTheory.Lattice.Bounded. Require Import UniMath.OrderTheory.Lattice.Heyting. Require Import UniMath.OrderTheory.Lattice.CompleteHeyting. Require Import UniMath.OrderTheory.Lattice.DerivedLawsCompleteHeyting.