proposition: Lemma ARle_abs : forall x:AR, ARle x (ARabs x).
proof: Proof. intro x. apply ARtoCR_preserves_le. rewrite ARtoCR_preserves_abs. apply CRle_abs. Qed.
imports: CoRN.algebra.RSetoid CoRN.metric2.Metric CoRN.metric2.UniformContinuity Coq.QArith.Qabs CoRN.model.metric2.Qmetric CoRN.model.totalorder.QposMinMax CoRN.model.totalorder.QMinMax CoRN.reals.fast.CRabs CoRN.reals.faster.ARArith