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Proof step 9 from proof okarray-byte (previous step)

st[r -- i '] .byteval = st[r0 -- j '] .byteval, st[r -- _type] .type = mkarraytype(byte_type), r -- _length ∈ st, is_integervalue(st[r -- _length]), is_arrayref(r, st[r -- _length] .intval, st), okarray(r0, byte_type, st), i < st[r -- _length] .intval, j < st[r0 -- _length] .intval, r0 ∈ st, 0 ≤ i, 0 < st[r -- _length] .intval, 0 ≤ j, 0 < st[r0 -- _length] .intval, r -- _type ∈ st, is_typevalue(st[r -- _type]), 0 ≤ st[r -- _length] .intval, r ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → is_bytevalue(st[r -- j0 ']) ⊦ st[r -- i '] = st[r0 -- j '], r0 = jvmref, r = jvmref, is_bytevalue(st[r -- i '])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
st[r -- _length] = intval(i0), st[r -- i '] .byteval = st[r0 -- j '] .byteval, st[r -- _type] .type = mkarraytype(byte_type), r -- _length ∈ st, is_integervalue(st[r -- _length]), is_arrayref(r, i0, st), okarray(r0, byte_type, st), i < i0, j < st[r0 -- _length] .intval, r0 ∈ st, 0 ≤ i, 0 < i0, 0 ≤ j, 0 < st[r0 -- _length] .intval, r -- _type ∈ st, is_typevalue(st[r -- _type]), 0 ≤ i0, r ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → is_bytevalue(st[r -- j0 ']) ⊦ st[r -- i '] = st[r0 -- j '], r0 = jvmref, r = jvmref, is_bytevalue(st[r -- i '])

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)]]