proposition: Lemma nth_derive_Rball_PI: forall c r n f (pr1: D_Rball c r n f) (pr2: D_Rball c r n f), Rball_eq c r (nth_derive_Rball c r f pr1) (nth_derive_Rball c r f pr2).
proof: Proof. intros ; apply nth_derive_Rball_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