Definition poset_to_precategory : precategory. Proof. use make_precategory. - exact poset_to_precategory_data. - abstract (repeat split ; intro ; intros ; 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.