Lemma isapropcarryequiv ( a b : fpscommring hz ) : isaprop ( carry a = carry b ). Proof. intros. apply ( fps hz ). 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.