Definition strong_monoidal_functor_μ_inv (smF : strong_monoidal_functor) : monoidal_functor_map_codom smF ⟹ monoidal_functor_map_dom smF := nat_z_iso_to_trans_inv (strong_monoidal_functor_μ smF).
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.AlternativeDefinitions.MonoidalCategoriesTensored. Require Import UniMath.CategoryTheory.whiskering.