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(* 02110-1301 USA                                                     *)
Require Export DistributedReferenceCounting.machine3.invariant0.
Require Export DistributedReferenceCounting.machine3.invariant1.
Require Export DistributedReferenceCounting.machine3.invariant2.
Unset Standard Proposition Elimination Names.
(* Where properties of rooted_fun are derived --> this should obviously be abstracted and given decent names *)
Section INVARIANT3.

Lemma sigma_rooted_fun5 :
forall s s1 : Site,
only_once Site eq_site_dec s LS ->
s <> owner ->
sigma_but Site owner eq_site_dec LS
(fun s0 : Site => rooted_fun s0 s1 owner (inc_dec s)) = 1%Z.