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Proof step 29 from proof okbytearray (previous step)

st[r -- _type] .type = mkarraytype(byte_type), r -- _length ∈ st, is_integervalue(st[r -- _length]), is_arrayref(r, st[r -- _length] .intval, st), 0 < i0, 0 ≤ i, i + i0 < st[r -- _length] .intval, r -- _type ∈ st, is_typevalue(st[r -- _type]), 0 ≤ st[r -- _length] .intval, r ∈ st, ∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → is_bytevalue(st[r -- j ']), ∀ val, i, st, r, j0. i→n(j0) < i→n(i0 + 1) → (true → (okarray(r, byte_type, st) ∧ i + j0 ≤ st[r -- _length] .intval ∧ 0 ≤ i ∧ ¬ is_bytevalue(val) → ¬ val ∈ getarray(r, i, j0, st))) ⊦ r = jvmref, is_bytevalue(st[r -- (i + i0) ']), st[r -- (i + i0) '] ∈ getarray(r, i, i0, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 28:
st[r -- _length] = intval(i1), st[r -- _type] .type = mkarraytype(byte_type), r -- _length ∈ st, is_integervalue(st[r -- _length]), is_arrayref(r, i1, st), 0 < i0, 0 ≤ i, i + i0 < i1, r -- _type ∈ st, is_typevalue(st[r -- _type]), 0 ≤ i1, r ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i1 ≤ j → is_bytevalue(st[r -- j ']), ∀ val, i, st, r, j0. i→n(j0) < i→n(i0 + 1) → (true → (okarray(r, byte_type, st) ∧ i + j0 ≤ st[r -- _length] .intval ∧ 0 ≤ i ∧ ¬ is_bytevalue(val) → ¬ val ∈ getarray(r, i, j0, st))) ⊦ r = jvmref, is_bytevalue(st[r -- (i + i0) ']), st[r -- (i + i0) '] ∈ getarray(r, i, i0, st)

Rule argument

[speclemmaarg: ,is_integervalue(val) → (i = val .intval ↔ val = intval(i)) ,[val, i] → [st[r -- _length], i1] ,T ,javavalue , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_integervalue(val) → ( i = val .intval ↔ val = intval(i))])], [EXTRATERMS : (st[r -- _length], i1)]]