Lemma isrinv_Dcuts_inv : ∏ x : Dcuts, ∏ Hx0 : x ≠ 0, Dcuts_mult x (Dcuts_inv x Hx0) = 1. Proof. intros x Hx0. rewrite iscomm_Dcuts_mult. now apply islinv_Dcuts_inv. Qed.
Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.Notations. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim. Require Import UniMath.RealNumbers.NonnegativeRationals.