Definition indexed_functor_natural_z_iso {C : category} {Φ Ψ : indexed_cat C} (τ : indexed_functor_data Φ Ψ) {x y : C} (f : x --> y) (xx : Φ x) : z_iso ((Ψ $ f) (τ x xx)) (τ y ((Φ $ f) xx)) := nat_z_iso_pointwise_z_iso (indexed_functor_natural τ f) xx.
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.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.IndexedCategories.IndexedCategory.