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(*         *   The Coq Proof Assistant / The Coq Development Team       *)
(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2018       *)
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(*         *     GNU Lesser General Public License Version 2.1          *)
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Local Open Scope R_scope.

Lemma tech6 :
forall (An:nat -> R) (k:R) (N:nat),
0 <= k ->
(forall i:nat, An (S i) < k * An i) ->
sum_f_R0 An N <= An 0%nat * sum_f_R0 (fun i:nat => k ^ i) N.