Lemma is_precategory_precat_from_folds_data : is_precategory precat_from_folds_data. Proof. apply is_precategory_one_assoc_to_two. repeat split. - apply T_I_r. - apply T_I_l. - apply T_assoc. Qed.
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.