Lemma is_functor_cgraph_forget : @is_functor cgraph_precategory hset_precategory cgraph_forget_data. Proof. apply make_dirprod. - intro x. cbn. apply idpath. - intros x y z. cbn. intros f g. apply idpath. 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.