Definition Kleisli_Mor_bind {C : category} {T T' : KleisliMonad C} (α : Kleisli_Mor T T') : ∏ (a b : C) (f : C⟦a,T b⟧), bind T' (nat_trans_from_kleisli_mor α b ∘ f) ∘ nat_trans_from_kleisli_mor α a = nat_trans_from_kleisli_mor α b ∘ (bind T f) := pr2 (pr2 α).
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.