proposition: Lemma D_infty_implies_C_infty : forall f, D_infty f -> C_infty f.
proof: Proof. intros f H n ; apply D_S_implies_C ; trivial. 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