Lemma nattorig_plus : ∏ {X : rig} (n m : nat), (nattorig (n + m) : X) = (nattorig n + nattorig m)%rig. Proof. intros X n m. apply (natmult_plus (X := rigaddabmonoid X)). Qed.
Require Import UniMath.Foundations.NaturalNumbers. Require Import UniMath.Algebra.RigsAndRings. Require Import UniMath.Algebra.Groups. Require Import UniMath.Algebra.DivisionRig. Require Import UniMath.Algebra.Domains_and_Fields. Require Import UniMath.Algebra.ConstructiveStructures. Require Import UniMath.MoreFoundations.Tactics.