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Proof step 13 from proof okbytearray-put-byteval (previous step)

okarray(r0, byte_type, st), okbytearray(r0, st[rkvs][r0 -- i ', byteval(by)]), i < st[r0 -- _length] .intval, 0 ≤ i, 0 < st[r0 -- _length] .intval, r0 ∈ st ⊦ r0 = jvmref, r0 -- _length ∈ rkvs, r0 -- i ' ∈ rkvs, okbytearray(r0, st[rkvs]), r0 -- i ' ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ 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 12:
okreftype(refval(r0), mkarraytype(byte_type), st) ∧ r0 ≠ jvmref ∧ r0 -- _length ∈ st ∧ is_integervalue(st[r0 -- _length]) ∧ 0 ≤ st[r0 -- _length] .intval ∧ is_arrayref(r0, st[r0 -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r0 -- _length] .intval → oktype(st[r0 -- j '], byte_type, st)), okbytearray(r0, st[rkvs][r0 -- i ', byteval(by)]), i < st[r0 -- _length] .intval, 0 ≤ i, 0 < st[r0 -- _length] .intval, r0 ∈ st ⊦ r0 = jvmref, r0 -- _length ∈ rkvs, r0 -- i ' ∈ rkvs, okbytearray(r0, st[rkvs]), r0 -- i ' ∈ st

Rule argument

[crewrite-arg: okarrayNotNull, F, [st, ty, r] → [st, byte_type, r0]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, byte_type, r0)]]