proposition: Lemma C_Rball_infty_scal : forall c r f a, C_Rball_infty c r f -> C_Rball_infty c r (mult_real_fct a f).
proof: Proof. intro_all ; apply C_Rball_scal ; eapply_assumption. Qed.
imports: Rbase Ranalysis Lia Lra Rfunctions Rfunction_facts Rextensionality Rinterval Ranalysis_def Ranalysis_def_simpl Ranalysis_facts Ranalysis_continuity Ranalysis_derivability Ranalysis_monotonicity Rfunction_classes_def MyR_dist Reals.Tactics