proposition: Lemma CoequalizerArrowComm {a b : C} {f g : C⟦a, b⟧} (E : Coequalizer f g) (e : C) (h : C⟦b, e⟧) (H : f · h = g · h) : CoequalizerArrow E · CoequalizerOut E e h H = h.
proof: Proof. exact (colimArrowCommutes E e _ Two). Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.Combinatorics.StandardFiniteSets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.Graphs.EqDiag UniMath.CategoryTheory.Limits.Coequalizers