fact: Definition eq_binprod_1cell {p q : binprod_cone} (φ ψ : binprod_1cell p q) (r₁ : pr1 φ = pr1 ψ) (r₂ : pr1 (binprod_1cell_pr1 φ) = (idtoiso_2_1 _ _ r₁ ▹ binprod_cone_pr1 q) • pr1 (binprod_1cell_pr1 ψ)) (r₃ : pr1 (binprod_1cell_pr2 φ) = (idtoiso_2_1 _ _ r₁ ▹ binprod_cone_pr2 q) • pr1 (binprod_1cell_pr2 ψ)) : φ = ψ.
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