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Proof step 11 from proof okbytearray (previous step)

st[r -- _length] = intval(i0), st[r -- _type] .type = mkarraytype(byte_type), r -- _length ∈ st, is_integervalue(st[r -- _length]), is_arrayref(r, i0, st), 0 < i0, i < i0, 0 ≤ i, r -- _type ∈ st, is_typevalue(st[r -- _type]), 0 ≤ i0, r ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r -- j ']), ∀ val, i, st, r, j0. i→n(j0) < i→n(1) → (true → (okarray(r, byte_type, st) ∧ i + j0 ≤ st[r -- _length] .intval ∧ 0 ≤ i ∧ ¬ is_bytevalue(val) → ¬ val ∈ getarray(r, i, j0, st))) ⊦ r = jvmref, is_bytevalue(st[r -- i '])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
st[r -- _type] .type = mkarraytype(byte_type), st[r -- _length] = intval(i0), 0 ≤ i0, 0 < i0, r ∈ st, is_typevalue(st[r -- _type]), r -- _type ∈ st, 0 ≤ i, i < i0, is_arrayref(r, i0, st), r -- _length ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r -- j ']), ∀ val, i, st, r, j0. i→n(j0) < i→n(1) → (true → (okarray(r, byte_type, st) ∧ i + j0 ≤ st[r -- _length] .intval ∧ 0 ≤ i ∧ ¬ is_bytevalue(val) → ¬ val ∈ getarray(r, i, j0, st))) ⊦ r = jvmref, is_bytevalue(st[r -- i '])

Rule argument

[emptyarg]

Additional information

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