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Proof step 17 from proof isarray-keyin (previous step)

st[r -- sk] = refval(r0), st[r0 -- _type] = typeval(mkarraytype(ty)), 0 < st[r -- (sk ' + _length ')] .intval, 0 ≤ i, i < st[r -- (sk ' + _length ')] .intval, r0 -- _type ∈ st, okarray(r0, ty, st), r0 ∈ st ⊦ r0 = jvmref, r0 -- i ' ∈ 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 16:
st[r -- sk] = refval(r0), st[r0 -- _type] = typeval(mkarraytype(ty)), 0 < st[r -- (sk ' + _length ')] .intval, 0 ≤ i, i < st[r -- (sk ' + _length ')] .intval, r0 -- _type ∈ st, okreftype(refval(r0), mkarraytype(ty), 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 '], ty, st)), r0 ∈ st ⊦ r0 = jvmref, r0 -- i ' ∈ st

Rule argument

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

Additional information

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