Definition op_unit_nat_z_iso {C₁ C₂ : category} (F : C₁ ⟶ C₂) : nat_z_iso (functor_identity _ ∙ functor_opp (functor_opp F)) (F ∙ functor_identity _). Proof. use make_nat_z_iso. - exact (op_unit_nat_trans F). - intro. apply identity_is_z_iso. 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.