Proposition cha_not_not_monotone {H : complete_heyting_algebra} {x y : H} (p : x ≤ y) : ¬ ¬ x ≤ ¬ ¬ y. Proof. do 2 use cha_not_antimonotone. exact 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.