proposition: Lemma CoequalizerOutsEq {y z: C} {f g : y --> z} (E : Coequalizer f g) {w : C} (φ1 φ2: C⟦E, w⟧) (H' : (CoequalizerArrow E) · φ1 = (CoequalizerArrow E) · φ2) : φ1 = φ2.
proof: Proof. apply (isCoequalizerOutsEq (isCoequalizer_Coequalizer E) _ _ H'). Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Retracts