fact: Definition coyoneda_functor : Functor (A -> set_cat) (A -> set_cat) := (compose_functor _ _ set_cat (coyoneda A)^op) o (yoneda (A -> set_cat)).
imports: Category.Core Functor.Core NaturalTransformation.Core Category.Dual Functor.Dual Functor.Composition.Core Category.Morphisms FunctorCategory.Morphisms SetCategory Functor.Attributes Functor.Composition.Functorial Functor.Identity HomFunctor FunctorCategory.Core NaturalTransformation.Paths HoTT.Tactics