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(*   Copyright Dominique Larchey-Wendling *                 *)
(*                                                            *)
(*                             * Affiliation LORIA -- CNRS  *)
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(*      This file is distributed under the terms of the       *)
(*         CeCILL v2 FREE SOFTWARE LICENSE AGREEMENT          *)
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Require Import List Arith Omega.

Require Import ILL.Definitions.

Require Import ill eill.

Section EILL_ILL.

  Theorem EILL_ILL_PROVABILITY : EILL_PROVABILITY ⪯ ILL_PROVABILITY.
  Proof.
    exists (fun p => match p with (Si,Ga,p) => (map (fun c => ![i c]) Si ++ map £ Ga,£ p) end).
    intros ((Si,Ga),p); apply G_eill_correct.
  Qed.

End EILL_ILL.