Lemma foldr1_nil {A: UU} (f : A -> A -> A) (a : A) : foldr1 f a nil = a. Proof. apply idpath. Qed.
Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.Combinatorics.StandardFiniteSets. Require Import UniMath.Combinatorics.Vectors.