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Proof step 64 from proof okarray-union-03 (previous step)

is_integervalue(st[r -- _length]), r -- _length ∈ st, okarray(refval(r), ty, st[r -- _length] .intval, st), r ∈ st ⊦ r = jvmref, (0 ≤ j ∧ j < st[r -- _length] .intval → oktype((st0 ∪ st)[r -- j '], ty, st0 ∪ st)) ∧ is_arrayref(r, st[r -- _length] .intval, st0 ∪ st) ∧ ¬ st[r -- _length] .intval < 0 ∧ okreftype(refval(r), mkarraytype(ty), st0 ∪ st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 63:
st[r -- _length] = intval(i), is_integervalue(st[r -- _length]), r -- _length ∈ st, okarray(refval(r), ty, i, st), r ∈ st ⊦ r = jvmref, (0 ≤ j ∧ j < i → oktype((st0 ∪ st)[r -- j '], ty, st0 ∪ st)) ∧ is_arrayref(r, i, st0 ∪ st) ∧ ¬ i < 0 ∧ okreftype(refval(r), mkarraytype(ty), st0 ∪ st)

Rule argument

[speclemmaarg: ,is_integervalue(val) → (i = val .intval ↔ val = intval(i)) ,[val, i] → [st[r -- _length], i] ,T ,javavalue , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_integervalue(val) → ( i = val .intval ↔ val = intval(i))])], [EXTRATERMS : (st[r -- _length], i)]]