proposition: Lemma isaprop_prebicat_laws (B : prebicat_data) (H : ∏ (a b : B) (f g : B ⟦ a, b ⟧), isaset (f ==> g)) : isaprop (prebicat_laws B).
proof: Proof. repeat (apply isapropdirprod) ; repeat (apply impred ; intro) ; apply H. 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