proposition: Lemma Qclamp01_clamped : forall x, 0 <= Qclamp01 x <= 1.
proof: Proof. intros x. unfold Qclamp01. split; simpl. apply Qmax_ub_l. rewrite -> Qmax_min_distr_r. apply Qmin_lb_l. Qed.
imports: CoRN.algebra.RSetoid CoRN.metric2.Metric CoRN.metric2.UniformContinuity CoRN.algebra.Bernstein CoRN.algebra.CRing_Homomorphisms CoRN.algebra.COrdFields2 CoRN.model.ordfields.Qordfield CoRN.model.totalorder.QMinMax CoRN.tactics.CornTac CoRN.tactics.Qauto CoRN.model.metric2.Qmetric Coq.QArith.Qabs CoRN.reals.fast.CRabs CoRN.reals.fast.ModulusDerivative CoRN.reals.fast.CRArith CoRN.reals.fast.CRArith_alg