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Proof step 6 from proof getbar-putbar-same-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ i0 < i → getbytearray(r, i, j, st[r0 -- i0 ', val]) = getbytearray(r, i, j, st)

Rule argument

[crewrite-arg: getbar-put-lower , F , [val, i0, r0, st, j, i, r] → [byteval(by), i, r, putByteArray(bytes0, r, i + 1, st), n→i(# bytes0), i + 1, r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i < j + 1 ↔ i ≤ j], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ ¬ i < i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i])], [EXTRATERMS : (byteval(by), i, r, putByteArray(bytes0, r, i + 1, st), n→i(# bytes0), i + 1, r)]]