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Proof step 54 from proof getbytearray-pseq-02 (previous step)

st[r -- _length] .intval = i2 + i, 0 ≤ i, 0 ≤ i1, 0 < i2 + i, validref(`docs2store', r, mkarraytype(byte_type), st), ps=(r, st, r1, st1), i1 ≤ i2, 0 < i2, 0 ≤ i2, ∀ i1, st1, r1, i0, r0, st0. i→n(st0[r0 -- _length] .intval - i0) < i→n(i2) → ( validref(`docs2store', r0, mkarraytype(byte_type), st0) ∧ ps=(r0, st0, r1, st1) ∧ i0 < st0[r0 -- _length] .intval ∧ i0 + i1 ≤ st0[r0 -- _length] .intval ∧ 0 ≤ i0 ∧ 0 < st0[r0 -- _length] .intval ∧ 0 ≤ i1 → getbytearray(r0, i0, i1, st0) = getbytearray(r1, i0, i1, st1) ∨ r0 = jvmref) ⊦ getbytearray(r, i, i1, st) = getbytearray(r1, i, i1, st1), r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: , 0 < j → getbytearray(r, i, j, st) = st[r -- i '] .byteval + getbytearray(r, i + 1, j - 1, st) ,[st, j, i, r] → [st, i1, i, r] ,F ,storearrays , ,getbar-rec ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ i ≤ j → (j ≤ i ↔ i = j)], [CSIMPFORWARD : ⊦ i < i0 ∧ i = i1 → i1 < i0], [CSIMPSEQ : ⊦ getbytearray(r, i, 0, st) = []])], [EXTRATERMS : (st, i1, i, r)]]