Definition quotient_poset : PartialOrder (setquotinset eqX). Proof. use make_PartialOrder. - exact quotient_poset_hrel. - refine ((_ ,, _) ,, _). + exact istrans_quotient_poset. + exact isrefl_quotient_poset. + exact isantisymm_quotient_poset. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets.Basics. Require Import UniMath.OrderTheory.Posets.MonotoneFunctions. Require Import UniMath.OrderTheory.Posets.PointedPosets.