proposition: Lemma sum_r_arctan_odd : forall x, Rball 0 1 x -> sum_r _ _ arctan_cv_radius x = - (sum_r _ _ arctan_cv_radius (- x)).
proof: Proof. intros x x_in. rewrite sum_r_arctan_explicit. rewrite sum_r_arctan_explicit. rewrite Ropp_sqr ; ring. apply Rball_0_opp_compat ; assumption. assumption. Qed.
imports: MyReals MyINR MyNNR Rsequence_def Rsequence_facts Rsequence_cv_facts Rsequence_sums_facts Rsequence_base_facts Rsequence_rewrite_facts Rsequence_usual_facts Rsequence_subsequence PeanoNat Lra Rpser_def Rpser_def_simpl Rpser_base_facts Rpser_cv_facts Rpser_radius_facts Rpser_sums Rpser_derivative Rpser_derivative_facts Rfunction_def Functions Rextensionality Rpow_facts Rinterval Ranalysis_def Ranalysis_def_simpl Ranalysis_continuity Ranalysis_derivability Ranalysis_monotonicity Rpser_sums_facts