Definition monoidal_from_bicat_and_ob: monoidal category_from_bicat_and_ob. Proof. exists monoidal_data_from_bicat_and_ob. exists (pr2 (tensor_from_bicat_and_ob)). exists leftunitor_law_from_bicat_and_ob. exists rightunitor_law_from_bicat_and_ob. exists associator_law_from_bicat_and_ob. exists triangle_identity_from_bicat_and_ob. exact pentagon_identity_from_bicat_and_ob. 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.