Definition isarchrig_diff {X : rig} (R : hrel X) : isarchrig R → ∏ y1 y2 : X, R y1 y2 → ∃ n : nat, R (nattorig n * y1)%rig (1 + nattorig n * y2)%rig := pr1.
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.