Lemma fmonoidal_eq {C D : category} {M : monoidal C} {N : monoidal D} {F : functor C D} (fmd fmd' : fmonoidal M N F) : pr1 fmd = pr1 fmd' -> fmd = fmd'. Proof. intro H. apply subtypePath. - intro; apply isaprop_fmonoidal_stronglaws. - exact H. Qed.
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.