proposition: Lemma PushoutArrow_PushoutIn1 {a b c : C} {f : a --> b} {g : a --> c} (Pb : Pushout f g) e (h : b --> e) (k : c --> e) (H : f · h = g · k) : PushoutIn1 Pb · PushoutArrow Pb e h k H = h.
proof: Proof. exact (pr1 (pr2 (pr1 (isPushout_Pushout Pb e h k H)))). Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Limits.Initial UniMath.CategoryTheory.Limits.BinCoproducts UniMath.CategoryTheory.Limits.Coequalizers UniMath.CategoryTheory.Epis UniMath.CategoryTheory.Core.Functors