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Proof step 18 from proof okbytearray-put-field (previous step)

st[r0 -- _type] .type = mkarraytype(byte_type), r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), r0 -- _length ∈ st, is_integervalue(st[r0 -- _length]), is_arrayref(r0, st[r0 -- _length] .intval, st), r0 ∈ st, 0 ≤ st[r0 -- _length] .intval, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r0 -- _length] .intval ≤ j0 → is_bytevalue(st[r0 -- j0 ']) ⊦ fs ' = _type, fs ' = _length, r0 = jvmref, okreftype(refval(r0), mkarraytype(byte_type), st) ∧ (0 ≤ j ∧ j < st[r0 -- _length] .intval → is_bytevalue(st[r0 -- j ']))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 17:
st[r0 -- _length] = intval(i), st[r0 -- _type] .type = mkarraytype(byte_type), r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), r0 -- _length ∈ st, is_integervalue(st[r0 -- _length]), is_arrayref(r0, i, st), r0 ∈ st, 0 ≤ i, ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → is_bytevalue(st[r0 -- j0 ']) ⊦ fs ' = _type, fs ' = _length, r0 = jvmref, okreftype(refval(r0), mkarraytype(byte_type), st) ∧ (0 ≤ j ∧ j < i → is_bytevalue(st[r0 -- j ']))

Rule argument

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

Additional information

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