proposition: Proposition is_end_construction_of_ends_unique_map : isaprop (wedge_map w construction_of_ends_wedge).
proof: Proof. use invproofirrelevance. intros φ₁ φ₂. use wedge_map_eq. use EqualizerInsEq. use ProductArrow_eq. intro i. rewrite !assoc'. exact (eq_of_wedge_map φ₁ i @ !(eq_of_wedge_map φ₂ i)). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.OppositeCategory.Core UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.Limits.Products UniMath.CategoryTheory.Limits.Equalizers