Lemma constconst_functor_lax_lineator_laws : lineator_laxlaws _ _ _ _ constconst_functor_lax_lineator_data. Proof. split4. - intro; intros; apply (nat_trans_eq E); intro c; apply idpath. - intro; intros; apply (nat_trans_eq E); intro c; apply idpath. - intro; intros; apply (nat_trans_eq E); intro c. apply pathsinv0, id_right. - intro; intros; apply (nat_trans_eq E); intro c. apply id_right. Qed.
Require Import UniMath.Foundations.PartD. 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.FunctorCategory. Require Import UniMath.CategoryTheory.BicatOfCatsElementary. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Examples.EndofunctorsMonoidalElementary. Require Import UniMath.CategoryTheory.Actegories.Actegories. Require Import UniMath.CategoryTheory.Actegories.ConstructionOfActegories. Require Import UniMath.CategoryTheory.Actegories.MorphismsOfActegories. Require Import UniMath.CategoryTheory.Limits.BinCoproducts. Require Import UniMath.CategoryTheory.Limits.Coproducts. Require Import UniMath.CategoryTheory.Actegories.CoproductsInActegories. Section Action_From_Precomposition. End Action_From_Precomposition.