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Proof step 14 from proof subset-exactarray (previous step)

st[r -- _type] = typeval(mkarraytype(ty)), st0[r -- _length] = intval(i), st0[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i), r -- _type ∈ st0, r -- _length ∈ st, is_arrayref(r, i, st), r -- _type ∈ st, r ∈ st, 0 ≤ i, r -- _length ∈ st0, r ∈ st0, ∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk] ⊦ r = jvmref, ∀ j. 0 ≤ j ∧ j < i → r -- j ' ∈ st0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
st[r -- _type] = typeval(mkarraytype(ty)), st0[r -- _length] = intval(i), st0[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i), j < i, r -- _type ∈ st0, r -- _length ∈ st, is_arrayref(r, i, st), r -- _type ∈ st, r ∈ st, 0 ≤ i, r -- _length ∈ st0, r ∈ st0, 0 ≤ j, 0 < i, ∀ rk. rk ∈ st → rk ∈ st0 ∧ st[rk] = st0[rk] ⊦ r = jvmref, r -- j ' ∈ st0

Rule argument

[emptyarg]

Additional information

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