Lemma pre_whisker_iso_is_iso {A B C : precategory_data} (F : functor_data A B) {G H : functor_data B C} (gamma : nat_trans G H) (X : is_nat_iso gamma) : is_nat_iso (pre_whisker F gamma). Proof. intros a. apply X. Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.FunctorCategory.