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Proof step 83 from proof hasSharing-addobj-same (previous step)

(addobj(r, class, fis, st)[(addobj(r, class, fis, st)[r -- sk]) .refval -- sks1]) = refval(r0), fis .keys = instfields(class), (addobj(r, class, fis, st)[r -- sks0]) = refval(r0), validfieldinits(str, fis, st), newref(r, st), fits(r, sks0, addobj(r, class, fis, st)), fits(r, sk ' + sks1, addobj(r, class, fis, st)), disjoint(str, fis .vals .nonnullrefs, st), is_referencevalue(addobj(r, class, fis, st)[r -- (sk ' + sks1)]) ⊦ r = jvmref, r0 = jvmref, sks0 = [], sks0 = sk ' + sks1, junkref(str, r, addobj(r, class, fis, st)), hasSharing(fis .vals .nonnullrefs, st), dups(fis .vals .nonnullrefs)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: addfuns instance-name: lemma-name: add-in-09 antecedent: succedent: sk ∈ fis → (addobj(r, class, fis, st)[r -- sk]) = fis[sk] substlist: [sk, st, fis, class, r] → [sk, st, fis, class, r] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 0, 1, 0, 1, 1, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sk, st, fis, class, r)]]