Lemma isarchring_isarchfld {X : fld} (R : hrel X) : isarchring R → isarchfld R. Proof. intros H. intros x. apply (isarchring_2 R H x). Defined.
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.