Definition is_poset_category (C : univalent_category) : UU := ∏ (x y : C), isaprop (x --> y).
Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.CategoryEquality.