proposition: Proposition mor_to_end_eq : f = g.
proof: Proof. exact (maponpaths pr1 (proofirrelevance _ (isapropifcontr (Hw a_wedge)) f_map g_map)). 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