proposition: Lemma identity_lineator_laxlaws {C : category} (Act : actegory Mon_V C) : lineator_laxlaws (identity_lineator_data Act).
proof: Proof. split4; intros x1; unfold identity_lineator_data; intros. - rewrite id_left. apply id_right. - rewrite id_left. apply id_right. - rewrite id_right. rewrite (bifunctor_leftid Act). rewrite id_right. apply id_left. - 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.Monoidal.Displayed.TotalMonoidal UniMath.CategoryTheory.Actegories.Actegories UniMath.CategoryTheory.Actegories.ConstructionOfActegories UniMath.CategoryTheory.coslicecat UniMath.CategoryTheory.Monoidal.Examples.MonoidalPointedObjects