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(*         *   The Coq Proof Assistant / The Coq Development Team       *)
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Local Open Scope R_scope.

Lemma derivable_pt_finite_sum :
forall (An:nat -> R) (N:nat) (x:R),
derivable_pt (fun y:R => sum_f_R0 (fun k:nat => An k * y ^ k) N) x.