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Proof step 45 from proof okarray-init-04 (conclusion)

⊦ okarray(refval(r), byte_type, i + 1, addarray(r, byte_type, vals + byteval(by) ', st)) ↔ okarray(refval(r), byte_type, i, addarray(r, byte_type, vals, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ 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 44:
⊦ okreftype(refval(r), mkarraytype(byte_type), addarray(r, byte_type, vals + byteval(by) ', st)) ∧ refval(r) .refval ≠ jvmref ∧ (refval(r) .refval -- _length) × intval(i + 1) ∈ addarray(r, byte_type, vals + byteval(by) ', st) ∧ 0 ≤ i + 1 ∧ is_arrayref(refval(r) .refval, i + 1, addarray(r, byte_type, vals + byteval(by) ', st)) ∧ (∀ j. 0 ≤ j ∧ j < i + 1 → oktype (addarray(r, byte_type, vals + byteval(by) ', st)[refval(r) .refval -- j '], byte_type, addarray(r, byte_type, vals + byteval(by) ', st))) ↔ okarray(refval(r), byte_type, i, addarray(r, byte_type, vals, st))

Rule argument

[speclemmaarg: , 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)) ,[st, i, ty, val] → [addarray(r, byte_type, vals + byteval(by) ', st), i + 1, byte_type, refval(r)] ,F ,okfuns , ,okarrayOfLength ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r, byte_type, vals + byteval(by) ', st), i + 1, byte_type, refval(r))]]