Lemma isaprop_fmonoidal_laxlaws {C D : category} {M : monoidal C} {N : monoidal D} {F : functor C D} (fmd : fmonoidal_data M N F) : isaprop (fmonoidal_laxlaws fmd). Proof. repeat (apply isapropdirprod); repeat (apply impred; intro); apply D. 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.