proposition: Lemma forget_monoidal_pointed_objects_laxlaws : fmonoidal_laxlaws forget_monoidal_pointed_objects_data.
proof: Proof. split5; intro; intros. - rewrite id_left; apply id_right. - rewrite id_left; apply id_right. - do 2 rewrite id_right. cbn. rewrite (bifunctor_leftid Mon_V). rewrite (bifunctor_rightid Mon_V). rewrite id_right; apply id_left. - cbn. rewrite (bifunctor_rightid Mon_V). rewrite id_left. apply id_left. - cbn. rewrite (bifunctor_leftid Mon_V). rewrite id_left. apply id_left. Qed.
imports: UniMath.MoreFoundations.All UniMath.Foundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Projection UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.Functors UniMath.CategoryTheory.Monoidal.Displayed.WhiskeredDisplayedBifunctors UniMath.CategoryTheory.Monoidal.Displayed.Monoidal UniMath.CategoryTheory.Monoidal.Displayed.TotalMonoidal UniMath.CategoryTheory.coslicecat