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Proof step 23 from proof okarray-putar (previous step)

⊦ r = r1, r1 -- _type ∈ st ∧ is_typevalue(st[r1 -- _type]) ∧ st[r1 -- _type] .type = mkarraytype(byte_type) ∧ r1 ≠ jvmref ∧ r1 -- _length ∈ st ∧ st[r1 -- _length] = intval(j) ∧ 0 ≤ j ∧ is_arrayref(r1, j, putArray(vals, r, i, st)) ∧ (∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → is_bytevalue(st[r1 -- j0 '])) ↔ okarray(refval(r1), byte_type, j, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ okarray(val, ty, i, st) ↔ okreftype(val, mkarraytype(ty), st) ∧ val .refval ≠ jvmref ∧ (val .refval -- _length) × intval(i) ∈ st ∧ 0 ≤ i ∧ is_arrayref(val .refval, i, st) ∧ (∀ j. 0 ≤ j ∧ j < i → oktype(st[val .refval -- j '], ty, st))
Proof step 22:
⊦ r = r1, r1 -- _type ∈ st ∧ is_typevalue(st[r1 -- _type]) ∧ st[r1 -- _type] .type = mkarraytype(byte_type) ∧ r1 ≠ jvmref ∧ r1 -- _length ∈ st ∧ st[r1 -- _length] = intval(j) ∧ 0 ≤ j ∧ is_arrayref(r1, j, putArray(vals, r, i, st)) ∧ (∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → is_bytevalue(st[r1 -- j0 '])) ↔ okreftype(refval(r1), mkarraytype(byte_type), st) ∧ refval(r1) .refval ≠ jvmref ∧ (refval(r1) .refval -- _length) × intval(j) ∈ st ∧ 0 ≤ j ∧ is_arrayref(refval(r1) .refval, j, st) ∧ (∀ j0. 0 ≤ j0 ∧ j0 < j → oktype(st[refval(r1) .refval -- j0 '], byte_type, st))

Rule argument

[crewrite-arg: okarrayOfLength , F , [st, i, ty, val] → [st, j, byte_type, refval(r1)] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, j, byte_type, refval(r1))]]