Lemma actegory_pair_functor_lineator_lax_laws : lineator_laxlaws _ _ _ _ actegory_pair_functor_lineator_data. Proof. red; repeat split; red; intros. - cbn. apply maponpaths_12; apply lineator_linnatleft. - cbn. apply maponpaths_12; apply lineator_linnatright. - cbn. apply maponpaths_12; apply lineator_preservesactor. - cbn. apply maponpaths_12; apply lineator_preservesunitor. Qed.
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.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Functors. Require Import UniMath.CategoryTheory.Actegories.Actegories. Require Import UniMath.CategoryTheory.Actegories.MorphismsOfActegories. Require Import UniMath.CategoryTheory.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.ProductCategory. Import BifunctorNotations. Import MonoidalNotations. Import ActegoryNotations.