proposition: Lemma isaprop_hcomp_prebicat_laws (B : hcomp_bicat_data) (H : ∏ (a b : B) (f g : hb_mor a b), isaset (hb_cell f g)) : isaprop (hcomp_bicat_laws B).
proof: Proof. repeat (apply isapropdirprod) ; try (repeat (apply impred ; intro) ; apply H). do 4 (apply impred ; intro). apply isapropisaset. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.PrecategoryBinProduct UniMath.Bicategories.WkCatEnrichment.prebicategory UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.BicategoryLaws