Lemma is_nat_trans_id {C : precategory_data}{C' : precategory} (F : functor_data C C') : is_nat_trans F F (λ c : ob C, identity (F c)). Proof. intros ? ? ? . now rewrite id_left, id_right. Qed.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.TransportMorphisms. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Univalence.