proposition: Lemma isarchhz_gt : ∏ x : hz, ∃ n : nat, hzgth (nattohz n) x.
proof: Proof. intros x. generalize (isarchring_2 _ isarchhz x). apply hinhfun. intros n. exists (pr1 n). rewrite <- nattorig_nattohz. exact (pr2 n). Qed.
imports: UniMath.Foundations.NaturalNumbers UniMath.MoreFoundations.PartA UniMath.MoreFoundations.NegativePropositions UniMath.Algebra.Monoids UniMath.Algebra.Groups UniMath.Algebra.RigsAndRings UniMath.NumberSystems.NaturalNumbersAlgebra