proposition: Lemma nth_derive_1 : forall (f : R -> R) (pr : D 1 f) (pr' : derivable f), nth_derive f pr == derive f pr'.
proof: Proof. intros f pr pr' x ; apply derive_ext ; reflexivity. Qed.
imports: Reals Rfunction_classes Ranalysis_def Ranalysis_def_simpl Rfunction_def Rextensionality Ranalysis_continuity Ranalysis_derivability Ranalysis_monotonicity Rinterval Nth_derivative_def