Definition poset_to_poset_category : poset_category. Proof. use make_poset_category. - exact poset_to_univalent_category. - intros x y. apply propproperty. Defined.
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.