Definition functor_comp_op_nat_z_iso {C₁ C₂ C₃ : category} (F : C₁ ⟶ C₂) (G : C₂ ⟶ C₃) : nat_z_iso (functor_opp F ∙ functor_opp G) (functor_opp (F ∙ G)). Proof. use make_nat_z_iso. - exact (functor_comp_op F G). - exact (is_nat_z_iso_functor_comp_op F G). Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Setcategories. Require Import UniMath.CategoryTheory.FunctorCategory.