Definition is_z_isomorphism_indexed_cat_comp {x y z : C} (f : x --> y) (g : y --> z) (xx : Φ x) : is_z_isomorphism (indexed_cat_comp Φ f g xx). Proof. exact (pr212 Φ x y z f g xx). Defined.
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.