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Proof step 33 from proof Security-without-initialstate (conclusion)

⊦ purge(cl, d) = purge(cl0, d) ∧ eqd(sys, d, sys0) → obs(run(sys, cl), d) = obs(run(sys0, cl0), d)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
purge(cl, d) = purge(cl0, d), eqd(sys, d, sys0) ⊦ obs(run(sys, cl), d) = obs(run(sys0, cl0), d)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]