Definition Kleisli_Mor_equiv {C : category} {T T' : KleisliMonad C} (α β : Kleisli_Mor T T') : α = β ≃ (nat_trans_from_kleisli_mor α = nat_trans_from_kleisli_mor β). Proof. apply subtypeInjectivity. intro a. now 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.