proposition: Lemma app_from_app' {n : nat} (s : (L n : hSet)) : app s = extended_composition (app' L) (λ _, s).
proof: Proof. exact (!maponpaths _ (pr_comp _ _ _) @ app_comp _ _ _). Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.Combinatorics.StandardFiniteSets UniMath.Combinatorics.Tuples UniMath.AlgebraicTheories.AlgebraicTheories UniMath.AlgebraicTheories.LambdaTheoryCategoryCore