proposition: Theorem Identity_IsMonad : IsMonad Identity_IsFunctor Identity_IsApplicative Identity_Monad.
proof: Proof. construct; auto. Qed.
imports: Category.Lib Category.Theory.Category Category.Theory.Monad Category.Theory.Functor Category.Functor.Applicative Category.Monad.Distributive Category.Monad.Compose Category.Functor.Structure.Monoidal.Pure Category.Instance.Coq Category.Theory.Coq.Applicative.Proofs Category.Theory.Coq.Monad