Lemma has_homsets_Kleisli (C : category) : has_homsets (precategory_Kleisli C). Proof. intros F G. simpl. unfold Kleisli_Mor. apply isaset_total2 . - apply impred_isaset. intro. apply C. - intros. apply isasetaprop. apply isaprop_Kleisli_Mor_laws. Defined.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Monads.Monads. Require Import UniMath.CategoryTheory.Monads.RelativeMonads.