fact: Definition has_bincoprod_ump_2_cell_pr1 (υ : has_bincoprod_ump_2_cell) := ∏ (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), bincoprod_cocone_inl p ◃ υ a φ ψ α β = α.
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