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(* modify it under the terms of the GNU Lesser General Public License *)
(* as published by the Free Software Foundation; either version 2.1   *)
(* of the License, or (at your option) any later version.             *)
(*                                                                    *)
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(* but WITHOUT ANY WARRANTY; without even the implied warranty of     *)
(* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the      *)
(* GNU General Public License for more details.                       *)
(*                                                                    *)
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(* Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA *)
(* 02110-1301 USA                                                     *)
(* correction de l'invariant de compatibilité par rapport à une signature *)

Lemma st_produit_r_correct_wrt_sign_invar_with_offset :
forall (s0 : state) (a : ad) (p : prec_list) (sigma : signature)
(pa : pre_ad),
state_correct_wrt_sign_with_offset s0 sigma pa ->
state_correct_wrt_sign_with_offset (M1 prec_list a p) sigma pa ->
state_correct_wrt_sign_with_offset (s_produit_r a p s0) sigma pa.