Definition eq_of_eilenberg_moore_mor {C : category} {m : Monad C} {x y : eilenberg_moore_cat m} (f : x --> y) : mor_of_eilenberg_moore_ob x · pr11 f = # m (pr11 f) · mor_of_eilenberg_moore_ob y := pr21 f.
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.Core.Univalence. Require Import UniMath.CategoryTheory.Categories.Dialgebras. Require Import UniMath.CategoryTheory.Subcategory.Core. Require Import UniMath.CategoryTheory.Subcategory.Full. Require Import UniMath.CategoryTheory.Monads.Monads.