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

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 18:
st[r0 -- _length] = intval(i0), st[r -- i '] = byteval(st[r0 -- j '] .byteval), st[r0 -- _type] .type = mkarraytype(byte_type), r0 -- _length ∈ st, is_integervalue(st[r0 -- _length]), is_arrayref(r0, i0, st), okarray(r, byte_type, st), 0 < i0, 0 ≤ j, 0 < st[r -- _length] .intval, 0 ≤ i, r ∈ st, j < i0, i < st[r -- _length] .intval, r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), 0 ≤ i0, r0 ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → is_bytevalue(st[r0 -- j0 ']) ⊦ r = jvmref, byteval(st[r0 -- j '] .byteval) = st[r0 -- j '], r0 = jvmref, is_bytevalue(st[r0 -- j '])

Rule argument

[speclemmaarg: ,is_integervalue(val) → (i = val .intval ↔ val = intval(i)) ,[val, i] → [st[r0 -- _length], i0] ,T ,javavalue , ,elim-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_integervalue(val) → ( i = val .intval ↔ val = intval(i))])], [EXTRATERMS : (st[r0 -- _length], i0)]]