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Proof step 28 from proof okarray-putbar-same-03 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ okarray(r, ty, st) ↔ okreftype(refval(r), mkarraytype(ty), st) ∧ r ≠ jvmref ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ 0 ≤ st[r -- _length] .intval ∧ is_arrayref(r, st[r -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → oktype(st[r -- j '], ty, st))
Proof step 27:
okreftype(refval(r), mkarraytype(byte_type), st) ∧ r ≠ jvmref ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ 0 ≤ st[r -- _length] .intval ∧ is_arrayref(r, st[r -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → oktype(st[r -- j '], byte_type, st)), r ∈ st ⊦ r = jvmref, okreftype(refval(r), mkarraytype(byte_type), putByteArray(bytes, r, i, st)) ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ is_arrayref(r, st[r -- _length] .intval, putByteArray(bytes, r, i, st)) ∧ (0 ≤ j ∧ j < st[r -- _length] .intval → is_bytevalue(putByteArray(bytes, r, i, st)[r -- j ']))

Rule argument

[crewrite-arg: okarrayNotNull, F, [st, ty, r] → [st, byte_type, r]]

Additional information

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