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Proof step 23 from proof okarray-copy (previous step)

st[r0 -- _length] = intval(i), 0 ≤ i, r0 ∈ st, is_arrayref(r0, i, st), r0 -- _length ∈ st, okreftype(refval(r0), mkarraytype(byte_type), st), ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → is_bytevalue(st[r0 -- j0 ']) ⊦ r0 = jvmref, r = jvmref, is_arrayref(r, i, arraycopy(r0, 0, r, 0, i, addarray(r, byte_type, i, st))) ∧ (0 ≤ j ∧ j < i → is_bytevalue(arraycopy(r0, 0, r, 0, i, addarray(r, byte_type, i, st))[r -- j ']))

User applied rule case distinction

And obtained the following new goals

Proof step 12:
st[r0 -- _length] = intval(i), 0 ≤ i, r0 ∈ st, is_arrayref(r0, i, st), r0 -- _length ∈ st, okreftype(refval(r0), mkarraytype(byte_type), st), ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → is_bytevalue(st[r0 -- j0 ']) ⊦ is_arrayref(r, i, arraycopy(r0, 0, r, 0, i, addarray(r, byte_type, i, st))), r0 = jvmref, r = jvmref
Proof step 22:
st[r0 -- _length] = intval(i), 0 ≤ i, r0 ∈ st, is_arrayref(r0, i, st), r0 -- _length ∈ st, okreftype(refval(r0), mkarraytype(byte_type), st), ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → is_bytevalue(st[r0 -- j0 ']) ⊦ 0 ≤ j ∧ j < i → is_bytevalue(arraycopy(r0, 0, r, 0, i, addarray(r, byte_type, i, st))[r -- j ']), r0 = jvmref, r = jvmref

Rule argument

[CASEDARG : pos: right 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]