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Proof step 11 from proof getbar-putbar-same-01 (previous step)

∀ r, i, st. getbytearray(r, i, n→i(# bytes0), putByteArray(bytes0, r, i, st)) = bytes0 ⊦ getbytearray(r, i, 1 + n→i(# bytes0), putByteArray(by ' + bytes0, r, i, st)) = by ' + bytes0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 < j → getbytearray(r, i, j, st) = st[r -- i '] .byteval + getbytearray(r, i + 1, j - 1, st)
Proof step 10:
0 < 1 + n→i(# bytes0), ∀ r, i, st. getbytearray(r, i, n→i(# bytes0), putByteArray(bytes0, r, i, st)) = bytes0 ⊦ (putByteArray(by ' + bytes0, r, i, st)[r -- i ']) .byteval + getbytearray(r, i + 1, 1 + n→i(# bytes0) - 1, putByteArray(by ' + bytes0, r, i, st)) = by ' + bytes0

Rule argument

[crewrite-arg: getbar-rec , F , [st, j, i, r] → [putByteArray(by ' + bytes0, r, i, st), 1 + n→i(# bytes0), i, r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ((* j)) < i0 + ((* j0)) ↔ j - j0 < i0], [CSIMPSEQ : ⊦ (~1) < i ↔ 0 ≤ i], [CSIMPSEQ : ⊦ 0 ≤ n→i(n)], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i])], [EXTRATERMS : (putByteArray(by ' + bytes0, r, i, st), 1 + n→i(# bytes0), i, r)]]