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Proof step 11 from proof isarray-isarrayref (previous step)

st[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i0), 0 ≤ i0, r -- _length ∈ st, is_arrayref(r, i0, st), r ∈ st, i ≤ i0, r -- _type ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, ∀ j. 0 ≤ j ∧ j < i → r -- j ' ∈ st

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
st[r -- _length] = intval(i0), st[r -- _type] = typeval(mkarraytype(ty)), j < i0, 0 < i, 0 ≤ j, r -- _type ∈ st, i ≤ i0, r ∈ st, is_arrayref(r, i0, st), r -- _length ∈ st, 0 ≤ i0, j < i, 0 < i0, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, r -- j ' ∈ st

Rule argument

[emptyarg]

Additional information

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