{R : Ring} (I J : Ideal R) : Type := ideal_eq (ideal_sum I J) (ideal_unit R). Existing Class . Global Instance ishprop_coprime `{Funext} {R : Ring} (I J : Ideal R) : IsHProp ( I J). Proof. unfold . exact _. Defined.
Require Import Basics Types. Require Import Spaces.Finite.Fin. Require Import Classes.interfaces.canonical_names. Require Import Algebra.Rings.Ring. Require Import Algebra.Groups.Subgroup. Require Import Algebra.AbGroups. Require Import WildCat.Core. Module Import Notation.