Definition tensor_data_from_bicat_and_ob: bifunctor_data category_from_bicat_and_ob category_from_bicat_and_ob category_from_bicat_and_ob. Proof. use make_bifunctor_data. - intros a b. exact (a · b). - intros a b1 b2 β. exact (lwhisker _ β). - intros b a1 a2 α. exact (rwhisker _ α). 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.