proposition: Lemma Qpos_adaptor : forall q, 0 < q -> [0][<]inj_Q IR q.
proof: Proof. intros q H. stepl (inj_Q IR 0). apply inj_Q_less. assumption. apply (inj_Q_nring IR 0). Qed.
imports: CoRN.algebra.RSetoid CoRN.metric2.Metric CoRN.metric2.UniformContinuity CoRN.reals.fast.CRartanh_slow CoRN.reals.fast.CRArith CoRN.reals.fast.CRIR Coq.QArith.Qpower CoRN.model.ordfields.Qordfield CoRN.reals.fast.ModulusDerivative CoRN.reals.fast.ContinuousCorrect CoRN.model.metric2.Qmetric CoRN.tactics.Qauto CoRN.transc.Exponential CoRN.transc.ArTanH CoRN.tactics.CornTac