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Proof step 33 from proof lookup-statfield (previous step)

junkref(str, r0, st), st[r -- sk0] = refval(r0), fits(r0, sks0, st), is_valid_ref(str, r, st), is_classtype(st[r -- _type] .type) → sk0 ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → is_indexkey(sk0) ∧ 0 ≤ sk0 .index ∧ sk0 .index < st[r -- _length] .intval, ∀ r, st, sk, val, str. fits(r, sks0, st) → r = jvmref ∨ (st[jvmref -- sk, val][r -- sks0]) = st[r -- sks0] ∨ junkref(str, r, st) ⊦ sks0 = [], (st[jvmref -- sk, val][r0 -- sks0]) = st[r0 -- sks0], r = jvmref, junkref(str, r, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , is_obj(str, r, st) → ( junkref(str, r, st) ↔ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ st[r -- fs '] .refval ≠ jvmref ∧ ( ¬ st[st[r -- fs '] .refval -- _type] .type ≤ fs .type ∨ junkref(str, st[r -- fs '] .refval, st)))) ,[st, r, str] → [st, r, str] ,F ,junkrefs , ,junkref-class ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r, str)]]