Definition one_cells_data_from_monoidal : precategory_data. Proof. use tpair. - exact (unit ,, (λ _ _, ob C)). - split. + intros dummy. exact I_{ M }. + intros dummy0 dummy1 dummy2. exact (λ a b, a ⊗_{M} b). 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.PrecategoryBinProduct. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.Bicategories.Core.Bicat. Section Bicat_From_Monoidal_Cat. Import Bicat.Notations. Import BifunctorNotations. Import MonoidalNotations. End Bicat_From_Monoidal_Cat.