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Proof step 8 from proof junkrefs-put-ba (previous step)

st[r0 -- i '] = refval(r), st[r0 -- _type] = typeval(mkarraytype(byte_type)), r0 -- _type ∈ st, junkrefs(str, refs, ty, st[r1 -- mkfs(class, mkarraytype(byte_type), fieldvar) ', refval(r0)]), is_array(str, r0, st), r0 ∈ st, 0 < st[r0 -- _length] .intval, 0 ≤ i, i < st[r0 -- _length] .intval, okreftype(refval(r0), mkarraytype(byte_type), st), r0 -- _length ∈ st, is_arrayref(r0, st[r0 -- _length] .intval, st), 0 ≤ st[r0 -- _length] .intval, st[r -- _type] .type ≠ byte_type ∨ junkref(str, r, st), ∀ j. ¬ j < 0 ∧ ¬ st[r0 -- _length] .intval ≤ j → is_bytevalue(st[r0 -- j ']) ⊦ r = jvmref, mkfs(class, mkarraytype(byte_type), fieldvar) ' = _length, r0 = jvmref, junkrefs(str, refs, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 7:
st[r0 -- _length] = intval(i0) ∧ is_integervalue(st[r0 -- _length]), st[r0 -- i '] = refval(r), st[r0 -- _type] = typeval(mkarraytype(byte_type)), r0 -- _type ∈ st, junkrefs(str, refs, ty, st[r1 -- mkfs(class, mkarraytype(byte_type), fieldvar) ', refval(r0)]), is_array(str, r0, st), r0 ∈ st, 0 < i0, 0 ≤ i, i < i0, okreftype(refval(r0), mkarraytype(byte_type), st), r0 -- _length ∈ st, is_arrayref(r0, i0, st), 0 ≤ i0, st[r -- _type] .type ≠ byte_type ∨ junkref(str, r, st), ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r0 -- j ']) ⊦ r = jvmref, mkfs(class, mkarraytype(byte_type), fieldvar) ' = _length, r0 = jvmref, junkrefs(str, refs, ty, st)

Rule argument

[speclemmaarg: ,is_integervalue(val) → (i = val .intval ↔ val = intval(i)) ,[val, i] → [st[r0 -- _length], i0] ,T ,javavalue , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_integervalue(val) → val .intval = 0], [CSIMPELIM : ⊦ is_integervalue(val) → ( i = val .intval ↔ val = intval(i))])], [EXTRATERMS : (st[r0 -- _length], i0)]]