Definition tensor_laws_from_bicat_and_ob: is_bifunctor tensor_data_from_bicat_and_ob. Proof. red; repeat split; red; cbn. - apply lwhisker_id2. - intros; apply id2_rwhisker. - intros; apply pathsinv0, lwhisker_vcomp. - intros; apply pathsinv0, rwhisker_vcomp. - intros; apply vcomp_whisker. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Functors. Require Import UniMath.Bicategories.Core.Bicat. Require Import UniMath.Bicategories.Core.Unitors. Section Monoidal_Cat_From_Bicat. Import Bicat.Notations. Import MonoidalNotations. End Monoidal_Cat_From_Bicat.