proposition: Lemma D_S_implies_C : forall n f, D (S n) f -> C n f.
proof: Proof. intro n ; induction n ; intros f H ; inversion H. constructor ; apply derivable_continuous ; assumption. apply C_S with pr ; apply IHn ; 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