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Proof step 70 from proof fits-put-05 (previous step)

(st[r1 -- fs ', byteval(by)][r -- sk]) = refval(r0), fits(r0, sks0, st[r1 -- fs ', byteval(by)]), is_bytevalue(st[r1 -- fs ']), is_referencevalue(st[r -- (sk ' + sks0)]), is_classtype((st[r1 -- fs ', byteval(by)][r -- _type]) .type) → sk ∈ instfields((st[r1 -- fs ', byteval(by)][r -- _type]) .type .class), is_arraytype((st[r1 -- fs ', byteval(by)][r -- _type]) .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < (st[r1 -- fs ', byteval(by)][r -- _length]) .intval, ∀ r, st, r1, fs, by, str. fits(r, sks0, st[r1 -- fs ', byteval(by)]) ∧ is_bytevalue(st[r1 -- fs ']) ∧ is_referencevalue(st[r -- sks0]) → junkref(str, r, st) ∨ fits(r, sks0, st) ⊦ r = jvmref, junkref(str, r, st), 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_fskey(sk) ∧ ¬ sk .index < 0 ∧ ¬ st[r -- _length] .intval ≤ sk .index) ∧ fits(st[r -- sk] .refval, sks0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,r ≠ jvmref ∧ ¬ is_valid_ref(str, r, st) → junkref(str, r, st) ,[st, r, str] → [st, r, str] ,F ,junkrefs , ,junkref-is-junk ]

Additional information

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