Definition make_indexed_functor_data {C : category} {Φ Ψ : indexed_cat C} (τ₀ : ∏ (x : C), Φ x ⟶ Ψ x) (τ₁ : ∏ (x y : C) (f : x --> y), nat_z_iso (τ₀ x ∙ (Ψ $ f)) ((Φ $ f) ∙ τ₀ y)) : indexed_functor_data Φ Ψ := τ₀ ,, τ₁.
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.