proposition: Lemma derive_pt_sine_cosine : forall (x : R) (pr : derivable_pt sine x), derive_pt sine x pr = cosine x.
proof: Proof. intros x pr ; rewrite derive_pt_eq ; apply derivable_pt_lim_sine. 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