Definition downward_closed_to_hrel : hrel X := λ x₁ x₂, eqset x₁ x₂ ∨ I x₁ ∧ I x₂.
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.