Definition indexed_functor_natural {C : category} {Φ Ψ : indexed_cat C} (τ : indexed_functor_data Φ Ψ) {x y : C} (f : x --> y) : nat_z_iso (τ x ∙ (Ψ $ f)) ((Φ $ f) ∙ τ y) := pr2 τ x y f.
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.