Lemma RmultapRzero: ∏ (x y : Reals), (x * y ≠ 0) -> (x ≠ 0) ∧ (y ≠ 0). Proof. exact CFmultapCFzero. Qed.
Require Import UniMath.Foundations.Preamble. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.RealNumbers.NonnegativeRationals.