Lemma functor_opp_composite {C D E : precategory} (F : functor C D) (G : functor D E) (hsE : has_homsets E) : functor_opp (functor_composite F G) = functor_composite (functor_opp F) (functor_opp G). Proof. apply (functor_eq _ _ (has_homsets_opp hsE)); trivial. Qed.
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.