proposition: Lemma actegory_binprod_delta_lineator_lax_laws : lineator_laxlaws _ _ _ _ actegory_binprod_delta_lineator_data.
proof: Proof. red; repeat split; red; intros. - cbn. apply maponpaths_12; (rewrite id_left; apply id_right). - cbn. apply maponpaths_12; (rewrite id_left; apply id_right). - cbn. apply maponpaths_12; unfold actegory_binprod_pr2_lineator_data; (rewrite id_left, id_right); (etrans; [| apply maponpaths; apply pathsinv0, (functor_id (leftwhiskering_functor Act v))]; apply pathsinv0, id_right). - cbn. apply maponpaths_12; apply id_left. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Functors UniMath.CategoryTheory.Actegories.Actegories UniMath.CategoryTheory.Actegories.MorphismsOfActegories UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.ProductCategory