proposition: Lemma PushoutArrow_PushoutIn2 {a b c : C} {f : C⟦a, b⟧} {g : C⟦a, c⟧} (Po : Pushout f g) (e : C) (h : C⟦b, e⟧) (k : C⟦c, e⟧) (H : f · h = g · k) : PushoutIn2 Po · PushoutArrow Po e h k H = k.
proof: Proof. exact (colimArrowCommutes Po e _ Three). Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.Combinatorics.StandardFiniteSets UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Limits.Graphs.Limits UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.Pushouts