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(* as published by the Free Software Foundation; either version 2.1   *)
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(* GNU General Public License for more details.                       *)
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(* Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA *)
(* 02110-1301 USA                                                     *)
Require Export DistributedReferenceCounting.machine3.machine.
Require Export DistributedReferenceCounting.machine3.cardinal.
Require Export DistributedReferenceCounting.machine3.comm.
Require Export DistributedReferenceCounting.machine3.still_to_prove.
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_init :
sigma_send_table send_init =
(sigma_receive_table rec_init + sigma_weight bag_init - 1)%Z.