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Proof step 12 from proof LanguageBasedNIF-run-observe (previous step)

eqds(sys, sources(cl, d), sys0), observe(nam, d), usedName(nam) ⊦ contents(run(sys, cl), nam) = contents(run(sys0, cl), nam)

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
⊦ eqds(sys, sources(cl, d), sys0) → eqd(run(sys, cl), d, run(sys0, cl))

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: run-eqd antecedent: succedent: eqds(sys, sources(cl, d), sys0) → eqd(run(sys, cl), d, run(sys0, cl)) substlist: [sys, cl, d, sys0] → [sys, cl, 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, cl, d, sys0)]]