Definition has_pb (B : bicat) : UU := ∏ (b₁ b₂ b₃ : B) (f : b₁ --> b₃) (g : b₂ --> b₃), ∑ (p : pb_cone f g), has_pb_ump p.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.Bicategories.Core.Bicat. Import Bicat.Notations. Require Import UniMath.Bicategories.Core.Invertible_2cells. Require Import UniMath.Bicategories.Core.Univalence.