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Proof step 102 from proof hasSharing-addobj-same (previous step)

fis[sk] = refval(r0), fis[sk0] = refval(r0), fis .keys = instfields(class), validfieldinits(str, fis, st), newref(r, st), sk ∈ fis, sk0 ∈ fis ⊦ sk0 = sk, r0 = jvmref, r = jvmref, dups(instfields(class)), junkref(str, r, addobj(r, class, fis, st)), fits(r, sk ', addobj(r, class, fis, st)) ∧ fits(r, sk0 ', addobj(r, class, fis, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: fits-storekeys-one antecedent: succedent: fits(r, sk ', st) ↔ r ≠ jvmref ∧ is_referencevalue(st[r -- sk]) ∧ ( is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class)) ∧ ( is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval) substlist: [st, sk, r] → [addobj(r, class, fis, st), sk0, r] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 5, 1, 1)) dummy: () ]

Additional information

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