Lemma NonnegativeRationals_eq0_le0 : ∏ r : NonnegativeRationals, (r <= 0) -> (r = 0). Proof. intros r Hr0. apply subtypePath_prop. apply isantisymmhqleh. - apply Hr0. - apply (pr2 r). Qed.
Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.RealNumbers.Sets. Require Import UniMath.RealNumbers.Fields. Require Import UniMath.OrderTheory.Lattice.Lattice. Require Import UniMath.RealNumbers.Prelim.