Lemma is_precategory_cgraph : is_precategory cgraph_precategory_data. Proof. apply is_precategory_one_assoc_to_two. repeat apply make_dirprod; cbn. - exact @cgraph_mor_id_left. - exact @cgraph_mor_id_right. - exact @cgraph_mor_comp_assoc. Qed.
Require Import UniMath.Foundations.PartA. Require Import UniMath.Foundations.Sets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Categories.HSET.Core. Require Import UniMath.Combinatorics.CGraph.