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(*         *   The Coq Proof Assistant / The Coq Development Team       *)
(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2018       *)
(* <O___,, *       (see CREDITS file for the list of authors)           *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
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Local Open Scope R_scope.

(* Unicity of the antiderivative *)
Lemma antiderivative_Ucte :
forall (f g1 g2:R -> R) (a b:R),
antiderivative f g1 a b ->
antiderivative f g2 a b ->
exists c : R, (forall x:R, a <= x <= b -> g1 x = g2 x + c).