fact: Definition binprod_ump_2cell_unique {a : B} {φ ψ : a --> p} (α : φ · binprod_cone_pr1 p ==> ψ · binprod_cone_pr1 p) (β : φ · binprod_cone_pr2 p ==> ψ · binprod_cone_pr2 p) (γ δ : φ ==> ψ) (γpr1 : γ ▹ binprod_cone_pr1 p = α) (γpr2 : γ ▹ binprod_cone_pr2 p = β) (δpr1 : δ ▹ binprod_cone_pr1 p = α) (δpr2 : δ ▹ binprod_cone_pr2 p = β) : γ = δ.
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.Categories.StandardCategories 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.Examples.BicatOfUnivCats UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Core.AdjointUnique UniMath.Bicategories.Core.Univalence