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Proof step 18 from proof okarray-08 (previous step)

st[r0 -- _length] = intval(i), st[r0 -- _type] = typeval(mkarraytype(int_type)), r0 ∈ st, r0 -- _type ∈ st, is_integervalue(val), is_arrayref(r0, i, st), r0 -- _length ∈ st, 0 ≤ i, ∀ j1. ¬ j1 < 0 ∧ ¬ i ≤ j1 → is_integervalue(st[r0 -- j1 ']) ⊦ 0 ≤ j0 ∧ j0 < i → is_integervalue(st[r0 -- j ', val][r0 -- j0 ']), r0 = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
st[r0 -- _length] = intval(i), st[r0 -- _type] = typeval(mkarraytype(int_type)), j0 < i, r0 ∈ st, r0 -- _type ∈ st, is_integervalue(val), is_arrayref(r0, i, st), r0 -- _length ∈ st, 0 ≤ i, 0 ≤ j0, 0 < i, ∀ j1. ¬ j1 < 0 ∧ ¬ i ≤ j1 → is_integervalue(st[r0 -- j1 ']) ⊦ r0 = jvmref, is_integervalue(st[r0 -- j ', val][r0 -- j0 '])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j])]]