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Proof step 13 from proof bytes2int-len-one-02 (previous step)

0 ≤ band(255, b2i(bytes.last)) + 256 * bytes2int((i2b(0) ' + by ') + bytes.butlast), band(255, b2i(bytes.last)) + 256 * bytes2int((i2b(0) ' + by ') + bytes.butlast) < 128, b2i(by) < 0 ⊦ bytes = []

User applied rule insert elim lemma

And obtained the following new goals

Rule argument

seq: bytes ≠ [] ⊦ by = bytes.last ∧ bytes0 = bytes.butlast ↔ bytes = bytes0 + by ' subst: [bytes, by, bytes0] → [bytes, by0, 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, by0, bytes0