fact: Definition is_disjoint_coproduct {B : bicat_with_biinitial} {x p y : B} (ι₁ : x --> p) (ι₂ : y --> p) : UU := fully_faithful_1cell ι₁ × fully_faithful_1cell ι₂ × has_comma_ump (biinitial_comma_cone ι₁ ι₂) × has_comma_ump (biinitial_comma_cone ι₂ ι₁).
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