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Proof step 147 from proof hasSharing-addobj-same (previous step)

fis[sk] = refval(r0), st[r0 -- sks] = refval(r1), fis .keys = instfields(class), st[r0 -- sks0] = refval(r1), sk ∈ instfields(class), validfieldinits(str, fis, st), newref(r, st), fits(r0, sks0, st), fits(r0, sks, st), sk ∈ fis ⊦ r0 = jvmref, r = jvmref, r1 = jvmref, sks = [], sks0 = [], sks0 = sks, junkref(str, r, addobj(r, class, fis, st)), dups(fis .vals .nonnullrefs), junkref(str, r0, st), (addobj(r, class, fis, st)[r -- (sk ' + sks)]) .refval ≠ jvmref ∧ (addobj(r, class, fis, st)[r -- (sk ' + sks)]) = (addobj(r, class, fis, st)[r -- (sk ' + sks0)])

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: storefuns instance-name: lemma-name: lookup-rec-refval antecedent: succedent: is_referencevalue(st[r -- sks]) ∧ sks ≠ [] → st[r -- sks] = st[st[r -- sks .first] .refval -- sks .rest] substlist: [sks, r, st] → [sk ' + sks0, r, addobj(r, class, fis, st)] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 9, 1, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sk ' + sks0, r, addobj(r, class, fis, st))]]