proposition: Lemma lax_lineator_postcomp_actegories_from_precomp_laws : lineator_laxlaws (Mon_endo c0) (actegory_from_precomp c0 d0) (actegory_from_precomp c0 e0) (post_comp c0 g) lax_lineator_postcomp_actegories_from_precomp_data.
proof: Proof. split4; intro; intros; cbn; unfold lax_lineator_postcomp_actegories_from_precomp_data. - apply rwhisker_lwhisker. - apply pathsinv0, rwhisker_rwhisker. - apply inverse_pentagon_7. - apply lunitor_triangle. Qed.
imports: UniMath.Foundations.PartD UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.Bicategories.MonoidalCategories.WhiskeredMonoidalFromBicategory UniMath.CategoryTheory.Actegories.Actegories UniMath.CategoryTheory.Actegories.ConstructionOfActegories UniMath.CategoryTheory.Actegories.MorphismsOfActegories UniMath.CategoryTheory.Monoidal.Examples.EndofunctorsMonoidalElementary UniMath.CategoryTheory.Actegories.Examples.ActionOfEndomorphismsInCATElementary UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.Examples.BicatOfCats UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coproducts UniMath.CategoryTheory.Actegories.CoproductsInActegories