Definition pointwise_z_iso_from_preserves_tensor_strongly {C D : category} {M : monoidal C} {N : monoidal D} {F : functor C D} {pt : preserves_tensordata M N F} (pts : preserves_tensor_strongly pt) (x y : C) : z_iso (F x ⊗_{ N} F y) (F (x ⊗_{ M} y)) := pt x y ,, pts x y.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.whiskering. Require Import UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Require Import UniMath.CategoryTheory.Monoidal.Structure.Symmetric. Import BifunctorNotations. Import MonoidalNotations.