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Proof step 16 from proof okarray-putbar-01 (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 13:
st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(byte_type)), r ∈ putByteArray(bytes, r1, 0, st), r -- _type ∈ st, r -- _length ∈ st, r ∈ st, 0 ≤ i, ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → r -- j0 ' ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → is_bytevalue(st[r -- j ']) ⊦ 0 ≤ j0 ∧ j0 < i → r -- j0 ' ∈ st, r = r1, r = jvmref
Proof step 15:
st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(byte_type)), r ∈ putByteArray(bytes, r1, 0, st), r -- _type ∈ st, r -- _length ∈ st, r ∈ st, 0 ≤ i, ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → r -- j0 ' ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → is_bytevalue(st[r -- j ']) ⊦ 0 ≤ j ∧ j < i → is_bytevalue(st[r -- j ']), r = r1, r = jvmref

Rule argument

[CASEDARG : pos: right 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]