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Proof step 31 from proof isarray-update (previous step)

st[r -- _length] = intval(i), st[r -- _type] = typeval(mkarraytype(ty)), is_arrayref(r, i, st), r -- _type ∈ st, r ∈ st, r -- _length ∈ st, 0 ≤ i, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, r = r0, ∀ j. 0 ≤ j ∧ j < i → r -- j ' ∈ update(r0, fis, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

[emptyarg]

Additional information

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