Definition functor_op_of_precomp_functor_factorizes_through_functorcatofopp_nat_z_iso : nat_z_iso (functor_op (pre_composition_functor A B C F)) (functor_composite (opfunctorcat_to_functorcatofoppcats B C) (functor_composite (pre_composition_functor _ _ _ (functor_op F)) (opfunctorcat_from_functorcatofoppcats A C)) ) := make_nat_z_iso _ _ _ (functor_op_of_precomp_functor_factorizes_through_functorcatofopp_is_nat_z_iso).
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.OppositeCategory.Core. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Equivalences.Core. Require Import UniMath.CategoryTheory.whiskering. Section OppositeOfFunctorCatFromFunctorCatOfOpposite. End OppositeOfFunctorCatFromFunctorCatOfOpposite.