proposition: Proposition is_coend_construction_of_coends_unique_map : isaprop (cowedge_map construction_of_coends_cowedge w).
proof: Proof. use invproofirrelevance. intros φ₁ φ₂. use cowedge_map_eq. use CoequalizerOutsEq. use CoproductArrow_eq. intro i. rewrite !assoc. exact (eq_of_cowedge_map φ₁ i @ !(eq_of_cowedge_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.Coproducts UniMath.CategoryTheory.Limits.Coequalizers