Lemma is_functor_covyoneda_functor_data (C : category) (c : C^op) : is_functor (covyoneda_ob_functor_data C c). Proof. split. - intros c'; apply funextfun; intro x; apply id_right. - intros a b d f g; apply funextfun; intro h; apply assoc. Qed.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.opp_precat. Require Import UniMath.CategoryTheory.Categories.HSET.Core. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.whiskering.