Lemma hzqrand0eq ( p : hz ) ( x : hzneq 0 p ) : 0 = ( p * 0 ) + 0. Proof. intros. rewrite hzmultx0. rewrite hzplusl0. apply idpath. Defined.
Require Import UniMath.PAdics.lemmas. Require Import UniMath.NumberSystems.Integers. Require Import UniMath.Foundations.Preamble.