Lemma isaposetmorphism_compose {P P' P'' : Poset} {f : P -> P'} (f_monot : isaposetmorphism f) {g : P' -> P''} (g_monot : isaposetmorphism g) : isaposetmorphism (g ∘ f). Proof. intros x y le_xy. apply g_monot, f_monot, le_xy. 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.