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Proof step 10 from proof add-okarray (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
st[r0 -- _length] = intval(i), is_arrayref(r0, i, st), r0 -- _length ∈ st, 0 ≤ i, okreftype(refval(r0), mkarraytype(ty0), st), r0 ∈ st, j < i, 0 ≤ j, 0 < i, ∀ j0. ¬ j0 < 0 ∧ ¬ i ≤ j0 → oktype(st[r0 -- j0 '], ty0, st) ⊦ r0 = jvmref, r = r0, oktype(st[r0 -- j '], ty0, addarray(r, ty, vals, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i ≤ j ∧ j < j0 → i < j0], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]