fact: Definition prebicategory_data : UU := ∑ C : prebicategory_id_comp, (∏ a b c d : C, associator_trans_type a b c d) × (∏ a b : C, left_unitor_trans_type a b) × (∏ a b : C, right_unitor_trans_type a b).
imports: UniMath.Foundations.PartD UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Categories.StandardCategories UniMath.CategoryTheory.HorizontalComposition UniMath.CategoryTheory.Equivalences.Core