Definition Left_Kleisli_functor_data {C : category} (T: Monad C) : functor_data C (Kleisli_precat_monad T). Proof. use make_functor_data. - apply idfun. - intros a b f; unfold idfun. exact (f · (η T) b). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Adjunctions.Core. Require Import UniMath.CategoryTheory.Monads.Monads. Require Import UniMath.CategoryTheory.whiskering.