fact: Definition has_cores (B : bicat) : UU := ∑ (R : right_universal_arrow (groupoidal_to_inv2cells B)), ∏ (x : B), let ε := pr1 (pr12 R (x ,, tt)) in is_eso ε × pseudomonic_1cell ε.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Morphisms.Eso UniMath.Bicategories.Morphisms.FullyFaithful UniMath.Bicategories.DisplayedBicats.Examples.FullSub UniMath.Bicategories.DisplayedBicats.Examples.BicatOfInvertibles UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.PseudoFunctor UniMath.Bicategories.PseudoFunctors.UniversalArrow