proposition: Lemma Rlt_Rle : ∏ x y : Reals, x < y -> x <= y.
proof: Proof. intros x y H. apply notRlt_Rle. intros H0. refine (isirrefl_Rlt _ _). refine (istrans_Rlt _ _ _ _ _). - exact H. - exact H0. Qed.
imports: UniMath.Algebra.Groups UniMath.Foundations.Preamble UniMath.MoreFoundations.Orders UniMath.MoreFoundations.Tactics UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim UniMath.RealNumbers.Sets UniMath.RealNumbers.NonnegativeRationals UniMath.RealNumbers.NonnegativeReals