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Proof step 12 from proof add-okarray (previous step)

⊦ r = r0, okarray(refval(r), ty, i, addobj(r0, class1, fis, st)) ↔ okarray(refval(r), ty, i, st), is_classtype(ty), is_arraytype(ty)

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 11:
⊦ r = r0, okreftype(refval(r), mkarraytype(ty), addobj(r0, class1, fis, st)) ∧ refval(r) .refval ≠ jvmref ∧ (refval(r) .refval -- _length) × intval(i) ∈ addobj(r0, class1, fis, st) ∧ 0 ≤ i ∧ is_arrayref(refval(r) .refval, i, addobj(r0, class1, fis, st)) ∧ (∀ j. 0 ≤ j ∧ j < i → oktype(addobj(r0, class1, fis, st)[refval(r) .refval -- j '], ty, addobj(r0, class1, fis, st))) ↔ okarray(refval(r), ty, i, st), is_classtype(ty), is_arraytype(ty)

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] → [addobj(r0, class1, fis, st), i, ty, refval(r)] ,F ,okfuns , ,okarrayOfLength ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addobj(r0, class1, fis, st), i, ty, refval(r))]]