Lemma precategory_LModule_axioms (C : category) : is_precategory (precategory_LModule_data C). Proof. repeat split; simpl; intros. - apply (invmap (LModule_Mor_equiv _ _ )). apply (@id_left (functor_category B C)). - apply (invmap (LModule_Mor_equiv _ _ )). apply (@id_right (functor_category B C)). - apply (invmap (LModule_Mor_equiv _ _ )). apply (@assoc (functor_category B C)). - apply (invmap (LModule_Mor_equiv _ _ )). apply (@assoc' (functor_category B C)). Qed.
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.NaturalTransformations. Require Import UniMath.CategoryTheory.FunctorCategory. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Limits.Terminal. Require Import UniMath.CategoryTheory.Limits.BinCoproducts. Require Import UniMath.CategoryTheory.Monads.Monads.