Lemma opfunctorcat_adjdata_functorcatofoppcats_form_adjunction : form_adjunction (opfunctorcat_from_functorcatofoppcats C D) (opfunctorcat_to_functorcatofoppcats C D) (unit_opfunctorcat_functorcatofoppcats C D) (counit_opfunctorcat_functorcatofoppcats C D). Proof. split. - intro. use nat_trans_eq. { apply homset_property. } intro ; apply id_left. - intro. use nat_trans_eq. { apply homset_property. } intro ; apply id_left. Qed.
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.