proposition: Lemma chaotic_prebicat_laws : prebicat_laws chaotic_prebicat_data.
proof: Proof. repeat apply make_dirprod; intros; apply isProofIrrelevantUnit. Qed.
imports: UniMath.Tactics.EnsureStructuredProofs UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.PrecategoryBinProduct