fact: Definition bincoprod_ump_2 : UU := ∏ (a : B) (φ ψ : p --> a) (α : bincoprod_cocone_inl p · φ ==> bincoprod_cocone_inl p · ψ) (β : bincoprod_cocone_inr p · φ ==> bincoprod_cocone_inr p · ψ), ∃! (γ : φ ==> ψ), (bincoprod_cocone_inl p ◃ γ = α) × (bincoprod_cocone_inr p ◃ γ = β).
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.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful UniMath.CategoryTheory.PrecategoryBinProduct UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.AdjointUnique UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.Morphisms.Adjunctions