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Proof step 21 from proof okarray-putbar-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
st[r -- _type] = typeval(mkarraytype(byte_type)), st[r -- _length] = intval(i), 0 ≤ i, r ∈ st, r -- _length ∈ st, r -- _type ∈ st, r ∈ putByteArray(bytes, r1, 0, st), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → is_bytevalue(st[r -- j ']), ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → r -- j0 ' ∈ st ⊦ r = jvmref, r = r1, okreftype(refval(r), mkarraytype(byte_type), st) ∧ is_arrayref(r, i, st) ∧ (0 ≤ j ∧ j < i → is_bytevalue(st[r -- j ']))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → ( r0 -- sk ∈ putByteArray (bytes, r, j, st) ↔ r0 -- sk ∈ st)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]