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Proof step 11 from proof okarray-06 (previous step)

st[r -- _length] = intval(i), newref(r0, st), r ∈ st, is_integervalue(st[r -- _length]), 0 ≤ i ⊦ r0 = jvmref, okreftype(refval(r), mkarraytype(byte_type), addarray(r0, ty, vals, st)) ∧ r -- _length ∈ addarray(r0, ty, vals, st) ∧ is_arrayref(r, i, addarray(r0, ty, vals, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ i ≤ j → is_bytevalue(st[r -- j '])) ↔ okreftype(refval(r), mkarraytype(byte_type), st) ∧ r -- _length ∈ st ∧ is_arrayref(r, i, st) ∧ (∀ j. 0 ≤ j ∧ j < i → is_bytevalue(st[r -- j '])), r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
st[r -- _length] = intval(i), 0 ≤ i, r ∈ st, newref(r0, st) ⊦ r = jvmref, okreftype(refval(r), mkarraytype(byte_type), addarray(r0, ty, vals, st)) ∧ r -- _length ∈ addarray(r0, ty, vals, st) ∧ is_arrayref(r, i, addarray(r0, ty, vals, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ i ≤ j → is_bytevalue(st[r -- j '])) ↔ okreftype(refval(r), mkarraytype(byte_type), st) ∧ r -- _length ∈ st ∧ is_arrayref(r, i, st) ∧ (∀ j. 0 ≤ j ∧ j < i → is_bytevalue(st[r -- j '])), r0 = jvmref

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_integervalue(intval(i))], [CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j])]]