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Proof step 22 from proof okarray-08 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
st[r0 -- _type] .type = mkarraytype(int_type), st[r0 -- _length] = intval(i), 0 ≤ i, r0 -- _length ∈ st, is_arrayref(r0, i, st), is_integervalue(val), r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), r0 ∈ st, ∀ j1. ¬ j1 < 0 ∧ ¬ i ≤ j1 → is_integervalue(st[r0 -- j1 ']) ⊦ r0 = jvmref, okreftype(refval(r0), mkarraytype(int_type), st[r0 -- j ', val]) ∧ (0 ≤ j0 ∧ j0 < i → is_integervalue(st[r0 -- j ', val][r0 -- j0 ']))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_integervalue(intval(i))], [CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j])]]