Lemma is_nat_z_iso_nat_trans_id {C D : precategory} (F :functor_data C D): is_nat_z_iso (nat_trans_id F). Proof. intro c. exists (identity (F c)). split; apply id_right. Defined.
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.