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Proof step 7 from proof bytes2int-rec-first-zero (previous step)

∀ by, bytes0. # bytes0 < # bytes → true → bytes0 = [] ∨ bytes2int(i2b(0) ' + by ' + bytes0) = band(b2i(by), 255) * 256 ^ n→i(# bytes0) + bytes2int(i2b(0) ' + bytes0) ⊦ bytes = [], band(255, b2i(bytes.last)) + 256 * bytes2int((i2b(0) ' + by ') + bytes.butlast) = band(b2i(by), 255) * 256 ^ n→i(# bytes) + bytes2int(i2b(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, bytes1] 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, bytes1