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(*   Copyright Dominique Larchey-Wendling [*]                 *)
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(*                             [*] 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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From Undecidability.Shared.Libs.DLW
From Undecidability.ILL Require Import ILL EILL ill.
Set Implicit Arguments.
Local Infix "~p" := (@Permutation _) (at level 70).
(* Symbols for cut&paste ⟙   ⟘   𝝐  ﹠ ⊗  ⊕  ⊸  ❗   ‼  ∅  ⊢ ⟦ ⟧ Γ Δ Σ *)
Notation "⦑ c ⦒" := (eill_cmd_map c) (at level 0).
Notation "Σ ; Γ ⊦ u" := (G_eill Σ Γ u) (at level 70, no associativity).

Theorem g_eill_mono_Si Σ Σ' Γ u : incl Σ Σ' -> Σ; Γ ⊦ u -> Σ'; Γ ⊦ u.