proposition: Corollary pure_comp `{Applicative F} `{f : a → b} {x} : (pure[F] ∘ f)%prg x = pure (f x).
proof: Proof. reflexivity. Qed.
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