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Proof step 2 from proof putBar-unrec (previous step)

⊦ (putByteArray(bytes, r, i0 + 1, st)[r -- i0 ', byteval(by)]) = putByteArray(by ' + bytes, r, i0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ bytes ≠ [] → putByteArray(bytes, r, i, st) = (putByteArray(bytes .rest, r, i + 1, st)[r -- i ', byteval(bytes .first)])

Rule argument

[crewrite-arg: putBar-rec , F , [st, i, r, bytes] → [st, i0, r, by ' + bytes] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ by ' ≠ []], [CSIMPSEQ : ⊦ ¬ bytes + bytes0 ≠ [] ↔ bytes = [] ∧ bytes0 = []], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ (by ' + bytes) .rest = bytes], [CSIMPSEQ : ⊦ (bytes + bytes0) + bytes1 = bytes + bytes0 + bytes1], [CSIMPSEQ : ⊦ (by ' + bytes) .first = by], [CSIMPSEQ : ⊦ by ' + bytes ≠ []])], [EXTRATERMS : (st, i0, r, by ' + bytes)]]