Definition po_precategory_data_is_precategory (PO : po X) : is_precategory (po_precategory_data PO). Proof. use make_is_precategory; intros; apply po_homsets_isaprop. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Univalence.