Definition precat_from_folds_data : precategory_data := tpair (λ C : precategory_ob_mor, precategory_id_comp C) (pr1 (pr1 C)) (make_dirprod (I_func C)(@T_func C)).
Require Import UniMath.Folds.UnicodeNotations. Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.Foundations.UnivalenceAxiom. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Folds.folds_precat.