fact: Definition EndoApplicative_Applicative `(H : EndoFunctor F) `(A : @Functor.Applicative.Applicative _ _ (FromAFunctor H)) : Applicative F := {| pure := λ _ x, @Pure.pure _ _ (FromAFunctor H) _ A _ x; ap := λ _ _ f x, @Functor.Applicative.ap _ _ (FromAFunctor H) A _ _ (f, x) |}.
imports: Category.Lib Category.Theory.Category Category.Theory.Functor Category.Theory.Natural.Transformation Category.Structure.Monoidal.Closed Category.Functor.Structure.Monoidal Category.Functor.Structure.Monoidal.Pure Category.Functor.Structure.Monoidal.Id Category.Functor.Structure.Monoidal.Compose Category.Functor.Applicative Category.Instance.Coq Category.Theory.Coq.Functor.Proofs Category.Theory.Coq.Applicative