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Proof step 8 from proof isarray-notin-01 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
st[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i0), 0 < i0, 0 ≤ i0, r -- _length ∈ st, i < i0, 0 ≤ i, r ∈ st, r -- _type ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st[r -- j '], ty), ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → r -- j ' ∈ st ⊦ r = jvmref, r -- i ' ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]