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Proof step 25 from proof okbytearray-put-byteval-equiv (previous step)

st[r -- _length] = intval(i0), st[r -- _type] = typeval(mkarraytype(byte_type)), r -- _type ∈ st, r -- _length ∈ st, is_arrayref(r, i0, st[r -- i ', byteval(by)]), r ∈ st, 0 ≤ i0, i < 0 ∨ i0 ≤ i ∨ 0 ≤ i ∧ i < i0 ∧ r -- i ' ∈ st ∧ is_bytevalue(st[r -- i ']), ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r -- i ', byteval(by)][r -- j ']) ⊦ 0 ≤ j ∧ j < i0 → is_bytevalue(st[r -- j ']), r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 24:
st[r -- _length] = intval(i0), st[r -- _type] = typeval(mkarraytype(byte_type)), j < i0, r -- _type ∈ st, r -- _length ∈ st, is_arrayref(r, i0, st[r -- i ', byteval(by)]), r ∈ st, 0 ≤ i0, 0 ≤ j, 0 < i0, i < 0 ∨ i0 ≤ i ∨ 0 ≤ i ∧ i < i0 ∧ r -- i ' ∈ st ∧ is_bytevalue(st[r -- i ']), ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r -- i ', byteval(by)][r -- j ']) ⊦ r = jvmref, is_bytevalue(st[r -- j '])

Rule argument

[emptyarg]

Additional information

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