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Proof step 8 from proof obs-implies-lbnif (previous step)

obs(sys, d) = obs(sys0, d), cdom(nam) ⇒ d ⊦ contents(sys, nam) = contents(sys0, nam)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ sys = sys0 ↔ (∀ nam. contents(sys, nam) = contents(sys0, nam))

Rule argument

[x0lemmaarg: spec-name: AccessControl instance-name: lemma-name: extensionality antecedent: succedent: sys = sys0 ↔ (∀ nam. contents(sys, nam) = contents(sys0, nam)) substlist: [sys0, sys] → [obs(sys0, d), obs(sys, d)] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (obs(sys0, d), obs(sys, d))]]