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Proof step 19 from proof ac-okarray (previous step)

⊦ r = jvmref, okreftype(refval(r), mkarraytype(ty), addclass(class1, fis, st)) ∧ r -- _length ∈ addclass(class1, fis, st) ∧ st[r -- _length] = intval(i) ∧ 0 ≤ i ∧ is_arrayref(r, i, st) ∧ (∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r -- j '], ty, st)) ↔ okreftype(refval(r), mkarraytype(ty), st) ∧ refval(r) .refval ≠ jvmref ∧ (refval(r) .refval -- _length) × intval(i) ∈ st ∧ 0 ≤ i ∧ is_arrayref(refval(r) .refval, i, st) ∧ (∀ j. 0 ≤ j ∧ j < i → oktype(st[refval(r) .refval -- j '], ty, st))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
st[r -- _length] = intval(i), is_arrayref(r, i, st), 0 ≤ i ⊦ r = jvmref, okreftype(refval(r), mkarraytype(ty), addclass(class1, fis, st)) ∧ r -- _length ∈ addclass(class1, fis, st) ∧ (∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r -- j '], ty, st)) ↔ okreftype(refval(r), mkarraytype(ty), st) ∧ r -- _length ∈ st ∧ (∀ j. 0 ≤ j ∧ j < i → oktype(st[r -- j '], ty, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : ⊦ rk × val ∈ st ↔ ¬ ¬ (rk ∈ st ∧ st[rk] = val)], [CSIMPSEQ : ⊦ refval(r) .refval = r])]]