Definition monoidal_to_tensor_unit {C : category} (M : monoidal C) : tensor_unit C := monoidal_tensor M ,, monoidal_unit M.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories.