proposition: Lemma CR_opp_as_Cauchy_IR_opp : forall x:CR, [--](CRasCauchy_IR x) [=] CRasCauchy_IR (- x)%CR.
proof: Proof. apply reverse_iso_uc_fun. apply Cauchy_IR_opp_as_CR_opp. Qed.
imports: CoRN.algebra.RSetoid CoRN.metric2.Metric CoRN.metric2.UniformContinuity CoRN.model.totalorder.QposMinMax CoRN.model.reals.Cauchy_IR CoRN.tactics.CornTac Coq(Lia) CoRN.model.metric2.Qmetric CoRN.model.totalorder.QMinMax Coq.QArith.Qabs CoRN.reals.fast.CRFieldOps