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Proof step 18 from proof getarray-subset-02 (previous step)

st[r -- _length] = intval(i0), st[r -- _type] = typeval(mkarraytype(ty)), 0 ≤ i0, i + j ≤ i0, 0 ≤ i, r ∈ st, st ⊆ st0, r -- _type ∈ st, is_arrayref(r, i0, st), is_integervalue(st[r -- _length]), r -- _length ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → okval(st[r -- j0 '], ty) ⊦ r = jvmref, getarray(r, i, j, st) = getarray(r, i, j, st0), is_arrayref(r, i + j, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
st[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i0), 0 ≤ i0, r -- _length ∈ st, is_arrayref(r, i0, st), r -- _type ∈ st, st ⊆ st0, r ∈ st, 0 ≤ i, i + j ≤ i0, ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → okval(st[r -- j0 '], ty) ⊦ getarray(r, i, j, st) = getarray(r, i, j, st0), r = jvmref, is_arrayref(r, i + j, st)

Rule argument

[emptyarg]

Additional information

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