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Proof step 68 from proof hasSharing-addobj-same (previous step)

(addobj(r, class, fis, st)[r2 -- sks]) = refval(r0), fis .keys = instfields(class), (addobj(r, class, fis, st)[r1 -- sks1]) = refval(r0), fis[sk] = refval(r1), (addobj(r, class, fis, st)[r -- sk0]) = refval(r2), sk0 ∈ instfields(class), fits(r2, sks, addobj(r, class, fis, st)), newref(r, st), validfieldinits(str, fis, st), sk ∈ fis, is_referencevalue(addobj(r, class, fis, st)[r -- (sk0 ' + sks)]), disjoint(str, fis .vals .nonnullrefs, st), is_referencevalue(addobj(r, class, fis, st)[r -- (sk ' + sks1)]), sk ∈ instfields(class), fits(r1, sks1, addobj(r, class, fis, st)) ⊦ r = jvmref, sk0 ' + sks = sk ' + sks1, r0 = jvmref, dups(fis .vals .nonnullrefs), hasSharing(fis .vals .nonnullrefs, st), junkref(str, r, addobj(r, class, fis, st))

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] → [sk0, st, fis, class, r] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 4)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sk0, st, fis, class, r)]]