Definition strong_monoidal_functor_μ (smF : strong_monoidal_functor) : nat_z_iso (monoidal_functor_map_dom smF) (monoidal_functor_map_codom smF) := make_nat_z_iso _ _ (lax_monoidal_functor_μ smF) (strong_monoidal_functor_μ_is_nat_z_iso 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.