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Proof step 27 from proof fillsgn-butlast (previous step)

0 ≤ bytes2int(bytes.butlast), bytes2int(bytes) < 0, # bytes ≤ n ⊦ fillsgn(n, bytes.butlast) = mklist(i2b(~1), (n - # bytes) + 1) + bytes.butlast, bytes = [], # bytes = 1

User applied rule insert elim lemma

And obtained the following new goals

Proof step 28:
bytes = bytes0 + by ', 0 ≤ bytes2int(bytes0), bytes2int(bytes) < 0, # bytes ≤ n ⊦ fillsgn(n, bytes0) = mklist(i2b(~1), (n - # bytes) + 1) + bytes0, bytes = [], # bytes = 1

Rule argument

seq: bytes ≠ [] ⊦ by = bytes.last ∧ bytes0 = bytes.butlast ↔ bytes = bytes0 + by ' subst: [bytes, by, bytes0] → [bytes, by, bytes0] rotate: T spec: list-last inst: bytelist name: last-elim

Additional information

Used simplifier rules: bytes ≠ [] ⊦ by = bytes.last ∧ bytes0 = bytes.butlast ↔ bytes = bytes0 + by '; (elim) Used terms: bytes, by, bytes0