Definition Kleisli_precat_data_monad {C : category} (T : Monad C) : precategory_data. Proof. use make_precategory_data. - exact (Kleisli_precat_ob_mor_monad T). - intro c. exact (η T c). - intros a b c f g. exact (f · (bind g)). 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.