fact: Definition nat_nat_fun_ind {X : abgr} (x : X) (n m : nat) : nat_nat_to_monoid_fun x (make_dirprod (n + m)%nat m) = nat_nat_to_monoid_fun x (make_dirprod n O).
imports: UniMath.Foundations.NaturalNumbers UniMath.MoreFoundations.PartA UniMath.MoreFoundations.NegativePropositions UniMath.Algebra.Monoids UniMath.Algebra.Groups UniMath.Algebra.RigsAndRings UniMath.NumberSystems.NaturalNumbersAlgebra