proposition: Lemma prebicat_prebicategory_coherence : prebicategory_coherence bicate_data.
proof: Proof. split. - intros. apply pentagon_identity. - intros. apply triangle_identity. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.HorizontalComposition UniMath.Bicategories.WkCatEnrichment.prebicategory UniMath.Bicategories.WkCatEnrichment.Notations UniMath.Bicategories.Core.Bicat