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Proof step 16 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. 0 ≤ j0 ∧ j0 < j → r1 -- j0 ' ∈ putArray(vals, r, i, st)) ∧ (∀ j0. ¬ j0 < 0 ∧ ¬ j ≤ j0 → is_bytevalue(st[r1 -- j0 '])) ↔ is_arrayref(r1, j, st) ∧ (∀ j0. 0 ≤ j0 ∧ j0 < j → is_bytevalue(st[r1 -- j0 '])), r = r1, r1 = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

[emptyarg]

Additional information

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