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Proof step 12 from proof bytes2bytes-identity (previous step)

1 + # bytes0 = # int2bytes(bytes2int(by ' + bytes0)), b2i(by) = ~1, b2i(bytes0.first) < 0 ⊦ int2bytes(bytes2int(by ' + bytes0)) = by ' + bytes0, bytes0 = []

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 13:
bytes0 = by0 + bytes, 1 + # bytes0 = # int2bytes(bytes2int(by ' + bytes0)), b2i(by) = ~1, b2i(by0) < 0 ⊦ int2bytes(bytes2int(by ' + bytes0)) = by ' + bytes0, bytes0 = []

Rule argument

seq: bytes ≠ [] ⊦ by = bytes.first ∧ bytes0 = bytes.rest ↔ bytes = by + bytes0 subst: [bytes, by, bytes0] → [bytes0, by0, bytes] rotate: T spec: list-data inst: bytelist name: elim-list-c

Additional information

Used simplifier rules: bytes ≠ [] ⊦ by = bytes.first ∧ bytes0 = bytes.rest ↔ bytes = by + bytes0; (elim) Used terms: bytes0, by0, bytes