Proposition isaprop_is_poset_category (C : univalent_category) : isaprop (is_poset_category C). Proof. do 2 (use impred ; intro). apply isapropisaprop. Qed.
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.