proposition: Lemma carryandremainder ( a : fpscommring hz ) ( n : nat ) : hzremaindermod m is ( carry a n ) = carry a n.
proof: Proof. intros. unfold carry. rewrite hzremaindermoditerated. apply idpath. Defined.
imports: UniMath.PAdics.lemmas UniMath.PAdics.fps UniMath.PAdics.frac UniMath.PAdics.z_mod_p UniMath.NumberSystems.Integers