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Proof step 16 from proof isarray-addarray-01 (previous step)

st[r1 -- _length] = intval(i), st[r1 -- _type] = typeval(mkarraytype(ty0)), r1 ∈ st, r1 -- _type ∈ st, okreftype(refval(r1), mkarraytype(ty0), st), r1 -- _length ∈ st, is_integervalue(st[r1 -- _length]), is_arrayref(r1, i, st), 0 ≤ i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r1 -- j '], ty0, addarray(r0, ty, vals, st)) ⊦ r1 = r0, r1 = jvmref, okarray(r1, ty0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
st[r1 -- _type] = typeval(mkarraytype(ty0)), st[r1 -- _length] = intval(i), 0 ≤ i, is_arrayref(r1, i, st), r1 -- _length ∈ st, okreftype(refval(r1), mkarraytype(ty0), st), r1 -- _type ∈ st, r1 ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r1 -- j '], ty0, addarray(r0, ty, vals, st)) ⊦ r1 = jvmref, r1 = r0, okarray(r1, ty0, st)

Rule argument

[emptyarg]

Additional information

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