Definition maybe_monad_data : disp_Monad_data maybe_functor := maybe_mu ,, maybe_eta. Local Lemma maybe_monad_law1 : ∏ c : C, BinCoproductIn2 (co o (co o c)) · BinCoproductArrow _ (BinCoproductIn1 (co o c)) (identity (co o c)) = identity (co o c). Proof. intro c. now rewrite BinCoproductIn2Commutes. 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.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Monads.Monads. Require Import UniMath.CategoryTheory.Limits.BinCoproducts. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Monads.LModules.