Lemma isaprop_braiding_laws {C : category} {M : monoidal C} (B Binv : braiding_data M) : isaprop (braiding_laws B Binv). Proof. repeat (apply isapropdirprod) ; repeat (apply impred_isaprop ; intro) ; try (apply homset_property). apply isapropdirprod ; apply homset_property. Qed.
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.Monoidal.WhiskeredBifunctors. Require Import UniMath.CategoryTheory.Monoidal.Categories. Import BifunctorNotations. Import MonoidalNotations.