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Proof step 13 from proof okarray-putar (previous step)

st[r1 -- _length] = intval(j), st[r1 -- _type] = typeval(mkarraytype(byte_type)), r1 -- _type ∈ st, r1 ∈ st, 0 ≤ j, r1 -- _length ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → r1 -- j0 ' ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → is_bytevalue(st[r1 -- j0 ']) ⊦ r = r1, r1 = jvmref, (0 ≤ j0 ∧ j0 < j → r1 -- j0 ' ∈ st) ∧ (0 ≤ j1 ∧ j1 < j → is_bytevalue(st[r1 -- j1 ']))

User applied rule case distinction

And obtained the following new goals

Proof step 10:
st[r1 -- _length] = intval(j), st[r1 -- _type] = typeval(mkarraytype(byte_type)), r1 -- _type ∈ st, r1 ∈ st, 0 ≤ j, r1 -- _length ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → r1 -- j0 ' ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → is_bytevalue(st[r1 -- j0 ']) ⊦ 0 ≤ j0 ∧ j0 < j → r1 -- j0 ' ∈ st, r = r1, r1 = jvmref
Proof step 12:
st[r1 -- _length] = intval(j), st[r1 -- _type] = typeval(mkarraytype(byte_type)), r1 -- _type ∈ st, r1 ∈ st, 0 ≤ j, r1 -- _length ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → r1 -- j0 ' ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → is_bytevalue(st[r1 -- j0 ']) ⊦ 0 ≤ j1 ∧ j1 < j → is_bytevalue(st[r1 -- j1 ']), r = r1, r1 = jvmref

Rule argument

[CASEDARG : pos: right 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]