Lemma is_nat_trans_covyoneda_morphisms_data (C : category) (c c' : C^op) (f : C^op⟦c,c'⟧) : is_nat_trans (covyoneda_objects C c) (covyoneda_objects C c') (covyoneda_morphisms_data C c c' f). Proof. intros d d' g; apply funextsec; 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.