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Proof step 3 from proof eqd-implies-LanguageBasedNIF (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ eqd(sys, d, sys0) ↔ (∀ nam. usedName(nam) ∧ cdom(nam) ⇒ d → contents(sys, nam) = contents(sys0, nam))

Rule argument

[x0lemmaarg: spec-name: AccessControl4Vars instance-name: lemma-name: eqd-def antecedent: succedent: eqd(sys, d, sys0) ↔ (∀ nam. usedName(nam) ∧ cdom(nam) ⇒ d → contents(sys, nam) = contents(sys0, nam)) substlist: [sys0, d, sys] → [sys0, d, sys] 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 : (sys0, d, sys)]]