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Proof step 21 from proof okarray-putbar-other (previous step)

r -- _length ∈ st, is_integervalue(st[r -- _length]), r ∈ st, 0 ≤ st[r -- _length] .intval ⊦ r = r1, r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ st[r -- _type] .type .type ≤ ty ∧ is_arrayref(r, st[r -- _length] .intval, putByteArray(bytes, r1, i, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → okval(st[r -- j '], ty)) ↔ okreftype(refval(r), mkarraytype(ty), st) ∧ is_arrayref(r, st[r -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → okval(st[r -- j '], ty)), r = jvmref

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 20:
st[r -- _length] = intval(i0), r -- _length ∈ st, is_integervalue(st[r -- _length]), r ∈ st, 0 ≤ i0 ⊦ r = r1, r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ is_arraytype(st[r -- _type] .type) ∧ st[r -- _type] .type .type ≤ ty ∧ is_arrayref(r, i0, putByteArray(bytes, r1, i, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st[r -- j '], ty)) ↔ okreftype(refval(r), mkarraytype(ty), st) ∧ is_arrayref(r, i0, st) ∧ (∀ j. 0 ≤ j ∧ j < i0 → okval(st[r -- j '], ty)), r = jvmref

Rule argument

[speclemmaarg: ,is_integervalue(val) → (i = val .intval ↔ val = intval(i)) ,[val, i] → [st[r -- _length], i0] ,T ,javavalue , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_integervalue(val) → ( i = val .intval ↔ val = intval(i))])], [EXTRATERMS : (st[r -- _length], i0)]]