Definition RelMonadMor_axioms {C D : precategory_data} {J : functor_data C D} {R R' : RelMonad_data J} (α : RelMonadMor_data R R') : UU := (∏ a : C, r_eta R a · α a = r_eta R' a) × (∏ (a b : C) (f : D⟦J a,R b⟧), α a · r_bind R' (f · α b) = (r_bind R f)· α b).
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Adjunctions.Core.