Definition covyoneda_morphisms_data (C : category) (c c' : C^op) (f : C^op⟦c,c'⟧) : ∏ a : C, HSET⟦covyoneda_objects C c a,covyoneda_objects C c' a⟧. Proof. simpl in f; intros a g. apply (f · g). Defined.
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.