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Proof step 28 from proof okbar-putbar (previous step)

okarray(r, byte_type, st), r ∈ st ⊦ r = r1, r = jvmref, okreftype(refval(r), mkarraytype(byte_type), putByteArray(bytes, r1, i, st)) ∧ r ≠ jvmref ∧ r -- _length ∈ putByteArray(bytes, r1, i, st) ∧ is_integervalue(putByteArray(bytes, r1, i, st)[r -- _length]) ∧ 0 ≤ (putByteArray(bytes, r1, i, st)[r -- _length]) .intval ∧ is_arrayref(r, (putByteArray(bytes, r1, i, st)[r -- _length]) .intval, putByteArray(bytes, r1, i, st)) ∧ (∀ j. 0 ≤ j ∧ j < (putByteArray(bytes, r1, i, st)[r -- _length]) .intval → oktype(putByteArray(bytes, r1, i, st)[r -- j '], byte_type, putByteArray(bytes, r1, i, st)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ okarray(r, ty, st) → ¬ st[r -- _length] .intval < 0
Proof step 4:
⊦ oktype(val, byte_type, st) ↔ is_bytevalue(val)
Proof step 27:
okarray(r, byte_type, st), r ∈ st ⊦ r = r1, r = jvmref, okreftype(refval(r), mkarraytype(byte_type), putByteArray(bytes, r1, i, st)) ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ is_arrayref(r, st[r -- _length] .intval, putByteArray(bytes, r1, i, st)) ∧ (0 ≤ j ∧ j < st[r -- _length] .intval → is_bytevalue(st[r -- j ']))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (putByteArray(bytes, r, j, st) [r0 -- sk ] ) = st[r0 -- sk]], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ (putByteArray(bytes, r, i, st) [r0 -- _length ] ) = st[r0 -- _length]], [CSIMPSEQ : ⊦ r ≠ r0 → ( r0 -- sk ∈ putByteArray (bytes, r, j, st) ↔ r0 -- sk ∈ st)])]]