Definition Monad_to_Kleisli_to_Monad {C : category} (T : Monad C) : Kleisli_to_Monad (Monad_to_Kleisli T) = T. Proof. apply Monad_eq_raw_data . apply Monad_to_Kleisli_to_Monad_raw_data. Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Monads.KTriples. Require Import UniMath.CategoryTheory.Monads.Monads. Require Import UniMath.CategoryTheory.Monads.RelativeMonads.