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Proof step 13 from proof Security-strong (previous step)

ipurge(cl, d) = ipurge(cl0, d), eqds(sys, sources(cl, d), sys0) ⊦ obs(run(sys, cl), d) = obs(run(sys0, cl0), d)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ obs(run(sys, cl), d) = obs(run(sys, ipurge(cl, d)), d)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: Security-simple-without-initialstate antecedent: succedent: obs(run(sys, cl), d) = obs(run(sys, ipurge(cl, d)), d) substlist: [d, cl, sys] → [d, cl, sys] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (d, cl, sys)]]