Definition hdisj_monot {p q p' q'} : (p ⇒ p') ⇒ (q ⇒ q') ⇒ (p ∨ q ⇒ p' ∨ q'). Proof. intros ? ?. apply hconjtohdisj; split; intro; auto using hdisj_in1, hdisj_in2. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.OrderedSets.WellOrderedSets. Require Import UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo. Require Import UniMath.OrderTheory.Posets.Subposets.