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Proof step 5 from proof LanguageBasedNIF-follows (previous step)

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

User applied rule insert 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: instance-name: lemma-name: eqd-implies-LanguageBasedNIF antecedent: eqd(sys, d, sys0) succedent: ∀ nam. usedName(nam) ∧ cdom(nam) ⇒ d → contents(sys, nam) = contents(sys0, nam) substlist: [sys, d, sys0] → [sys, d, sys0] add preconditions?: F is rewrite lemma?: F current spec?: T rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

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