Lemma carryandcarryequiv ( a : fpscommring hz ) : carryequiv ( carry a ) a. Proof. intros. simpl. rewrite doublecarry. apply idpath. Defined.
Require Import UniMath.PAdics.lemmas. Require Import UniMath.PAdics.fps. Require Import UniMath.PAdics.frac. Require Import UniMath.PAdics.z_mod_p. Require Import UniMath.NumberSystems.Integers.