Definition indexed_cat_isos {C : category} (F : indexed_cat_data C) : UU := (∏ (x : C) (xx : F x), is_z_isomorphism (indexed_cat_id F x xx)) × (∏ (x y z : C) (f : x --> y) (g : y --> z) (xx : F x), is_z_isomorphism (indexed_cat_comp F f g xx)).
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.