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Proof step 37 from proof okbytearray-put-byteval-equiv (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ 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 36:
okreftype(refval(r), mkarraytype(byte_type), st[r -- i ', byteval(by)]) ∧ r ≠ jvmref ∧ r -- _length ∈ st[r -- i ', byteval(by)] ∧ is_integervalue(st[r -- i ', byteval(by)][r -- _length]) ∧ 0 ≤ (st[r -- i ', byteval(by)][r -- _length]) .intval ∧ is_arrayref(r, (st[r -- i ', byteval(by)][r -- _length]) .intval, st[r -- i ', byteval(by)]) ∧ (∀ j. 0 ≤ j ∧ j < (st[r -- i ', byteval(by)][r -- _length]) .intval → oktype(st[r -- i ', byteval(by)][r -- j '], byte_type, st[r -- i ', byteval(by)])), i < 0 ∨ st[r -- _length] .intval ≤ i ∨ 0 ≤ i ∧ i < st[r -- _length] .intval ∧ r -- i ' ∈ st ∧ is_bytevalue(st[r -- i ']) ⊦ r = jvmref, okbytearray(r, st)

Rule argument

[crewrite-arg: okarrayNotNull , F , [st, ty, r] → [st[r -- i ', byteval(by)], byte_type, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- i ', byteval(by)], byte_type, r)]]