Definition pointwise_z_iso_from_nat_z_iso {A : precategory} {X : category} {F G : [A, X]} (b : z_iso F G) (a : A) : z_iso (pr1 F a) (pr1 G a) := functor_z_iso_pointwise_if_z_iso _ _ _ _ _ b (pr2 b)_ .
Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.DisplayedCats.Core. Require Import UniMath.CategoryTheory.DisplayedCats.Functors. Require Import UniMath.CategoryTheory.DisplayedCats.NaturalTransformations. Require Import UniMath.CategoryTheory.DisplayedCats.Isos.