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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.                       *)
(*                                                                    *)
(* You should have received a copy of the GNU Lesser General Public   *)
(* License along with this program; if not, write to the Free         *)
(* Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA *)
(* 02110-1301 USA                                                     *)
Require Export DistributedReferenceCounting.machine2.machine.
Require Export DistributedReferenceCounting.machine2.cardinal.
Require Export DistributedReferenceCounting.machine2.comm.
Unset Standard Proposition Elimination Names.
(* Changes with machine1: - As receive table owner equals 1, initally, I should add -1 - Base cases had to be changed - inductive case, proof is unchanged *)
Section INVARIANT1.

Lemma invariant1 :
forall c : Config,
legal c ->
sigma_send_table (st c) =
(sigma_receive_table (rt c) + sigma_weight (bm c) - 1)%Z.