proposition: Lemma isaprop_monoidal_laws {C : category} (M : monoidal_data C) : isaprop (monoidal_laws M).
proof: Proof. repeat (apply isapropdirprod) ; repeat (apply impred ; intro) ; repeat (try apply C) ; repeat (apply isaprop_is_inverse_in_precat). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.Notations UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful UniMath.CategoryTheory.opp_precat