fact: Definition is_universal_coproduct {B : bicat} {x p y : B} (ι₁ : x --> p) (ι₂ : y --> p) : UU := ∏ (z : B) (h : z --> p), ∑ (v w : B) (f₁ : v --> x) (f₂ : w --> y) (g₁ : v --> z) (g₂ : w --> z) (γ₁ : invertible_2cell (f₁ · ι₁) (g₁ · h)) (γ₂ : invertible_2cell (f₂ · ι₂) (g₂ · h)) (H₁ : has_pb_ump (make_pb_cone _ f₁ g₁ γ₁)) (H₂ : has_pb_ump (make_pb_cone w f₂ g₂ γ₂)), has_bincoprod_ump (make_bincoprod_cocone _ g₁ g₂).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Morphisms.FullyFaithful UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Colimits.Initial UniMath.Bicategories.Colimits.Coproducts UniMath.Bicategories.Limits.CommaObjects UniMath.Bicategories.Limits.Pullbacks UniMath.Bicategories.Limits.PullbackFunctions