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