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Proof step 10 from proof isarray-notin-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
st[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i0), 0 < i0, 0 ≤ i0, r -- _length ∈ st, is_arrayref(r, i0, st), i < i0, 0 ≤ i, r ∈ st, r -- _type ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, r -- i ' ∈ st

Rule argument

[emptyarg]

Additional information

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