proposition: Lemma bicate_transfs : (∏ a b c d : bicate_id_comp, associator_trans_type a b c d) × (∏ a b : bicate_id_comp, left_unitor_trans_type a b) × (∏ a b : bicate_id_comp, right_unitor_trans_type a b).
proof: Proof. repeat split; red; cbn. - exact lassociator_transf. - exact lunitor_transf. - exact runitor_transf. 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