proposition: Lemma hzlthsntoleh ( n m : hz ) ( p : hzlth m ( n + 1 ) ) : hzleh m n.
proof: Proof. intros. unfold hzlth in p. assert ( hzgeh n m ) as a by (apply hzgthsntogeh; exact p). exact a. Defined.
imports: UniMath.Tactics.EnsureStructuredProofs UniMath.Foundations.PartA UniMath.Foundations.Propositions UniMath.Foundations.NaturalNumbers UniMath.Algebra.RigsAndRings UniMath.Algebra.Domains_and_Fields UniMath.NumberSystems.Integers UniMath.Algebra.Monoids