Proof step 32 from proof okarray-union (previous step)

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 31:

  ⊦ okreftype(refval(r), mkarraytype(ty), st ∪ st0) ∧ refval(r) .refval ≠ jvmref ∧ (refval(r) .refval -- _length) × intval(i) ∈ st ∪ st0 ∧ 0 ≤ i ∧ is_arrayref(refval(r) .refval, i, st ∪ st0) ∧ (∀ j. 0 ≤ j ∧ j < i → oktype((st ∪ st0)[refval(r) .refval -- j '], ty, st ∪ st0)) ↔ okarray(refval(r), ty, i, st0), r ∈ st .refs

Rule argument

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st ∪ st0, i, ty, refval(r))]]