proposition: Lemma CoequalizerCommutes {y z : C} {f g : y --> z} (E : Coequalizer f g) (w : C) (h : z --> w) (H : f · h = g · h) : (CoequalizerArrow E) · (CoequalizerOut E w h H) = h.
proof: Proof. exact (pr2 (pr1 ((isCoequalizer_Coequalizer E) w h 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