Definition functor_iso_pointwise_if_iso (C : precategory_data) (C' : precategory) (hs: has_homsets C') (F G : ob [C, C',hs]) (A : F --> G) (H : is_iso A) : ∏ a : ob C, iso (pr1 F a) (pr1 G a) := λ a, tpair _ _ (is_functor_iso_pointwise_if_iso C C' _ F G A H a).
Require Import UniMath.Foundations.Propositions. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.Univalence. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.TransportMorphisms. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence.