fact: Definition is_universal_from_pb {B : bicat_with_pb} {x p y : B} (ι₁ : x --> p) (ι₂ : y --> p) (H : bicat_with_pb_is_universal_coproduct ι₁ ι₂) : is_universal_coproduct ι₁ ι₂ := λ z h, ι₁ /≃ h ,, ι₂ /≃ h ,, π₁ ,, π₁ ,, π₂ ,, π₂ ,, pb_cell ι₁ h ,, pb_cell ι₂ h ,, pb_obj_has_pb_ump ι₁ h ,, pb_obj_has_pb_ump ι₂ h ,, H z h.
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