Definition setquot_aux {X : monoid} (R : hrel X) : hrel X := λ x y : X, ∃ c : X, R (x + c)%addmonoid (y + c)%addmonoid.
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.