fact: Definition hzgthtoneghzleh ( n m : hz ) : hzgth n m -> neg ( hzleh n m ) := λ g l , hzlehtoneghzgth _ _ l g .
imports: UniMath.Foundations.NaturalNumbers UniMath.MoreFoundations.PartA UniMath.MoreFoundations.NegativePropositions UniMath.Algebra.Monoids UniMath.Algebra.Groups UniMath.Algebra.RigsAndRings UniMath.NumberSystems.NaturalNumbersAlgebra