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Proof step 13 from proof okarray-put-02 (previous step)

st[r0 -- _type] = typeval(mkarraytype(byte_type)), 0 < st[r0 -- _length] .intval, 0 ≤ j0, 0 ≤ st[r0 -- _length] .intval, r0 ∈ st, j0 < st[r0 -- _length] .intval, is_arrayref(r0, st[r0 -- _length] .intval, st), r0 -- _length ∈ st, r0 -- _type ∈ st, ∀ j1. ¬ j1 < 0 ∧ ¬ st[r0 -- _length] .intval ≤ j1 → is_bytevalue(st[r0 -- j1 ']) ⊦ r0 = jvmref, is_bytevalue((j0 = j ⊃ byteval(by); st[r0 -- j0 '])), ¬ j < 0 ∧ ¬ st[r0 -- _length] .intval ≤ j

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Proof step 12:
j0 ≠ j, st[r0 -- _type] = typeval(mkarraytype(byte_type)), 0 < st[r0 -- _length] .intval, 0 ≤ j0, 0 ≤ st[r0 -- _length] .intval, r0 ∈ st, j0 < st[r0 -- _length] .intval, is_arrayref(r0, st[r0 -- _length] .intval, st), r0 -- _length ∈ st, r0 -- _type ∈ st, ∀ j1. ¬ j1 < 0 ∧ ¬ st[r0 -- _length] .intval ≤ j1 → is_bytevalue(st[r0 -- j1 ']) ⊦ is_bytevalue(st[r0 -- j0 ']), r0 = jvmref, ¬ j < 0 ∧ ¬ st[r0 -- _length] .intval ≤ j

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_bytevalue(byteval(by))])]]