Lemma transport_target_is_iso {C : precategory} {x y z : ob C} (f : x --> y) (H : is_iso f) (e : y = z) : is_iso (transportf (precategory_morphisms x) e f). Proof. induction e. apply H. Qed.
Require Import UniMath.Foundations.PartA. Require Import UniMath.Foundations.UnivalenceAxiom. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos.