Definition LModule_comp_laws {D : category} {T : Monad C} {S : Monad C} {a : T ∙ S ⟹ S ∙ T} (l : monad_dist_laws a) (L : LModule T D) : (LModule_laws T (LModule_comp_data a L)) := make_dirprod (LModule_comp_law1 l L) (LModule_comp_law2 l L).
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.