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Proof step 8 from proof band-65535-neg (previous step)

bytes2int(bytes) ≤ ~65537, bytes2int(bytes) < 0, # bytes ≤ 2 ⊦ (bytes2int(bytes) + 1) % 65536 = 1 + bytes2int(bytes), bytes = []

User applied rule insert lemma

And obtained the following new goals

Proof step 9:
bytes ≠ [] ⊦ ~(2 ^ n→i(# bytes * 8 - 1)) ≤ bytes2int(bytes) ∧ bytes2int(bytes) < 2 ^ n→i(# bytes * 8 - 1)
Proof step 10:
~(2 ^ n→i(# bytes * 8 - 1)) ≤ bytes2int(bytes) ∧ bytes2int(bytes) < 2 ^ n→i(# bytes * 8 - 1), bytes2int(bytes) ≤ ~65537, bytes2int(bytes) < 0, # bytes ≤ 2 ⊦ (bytes2int(bytes) + 1) % 65536 = 1 + bytes2int(bytes), bytes = []

Rule argument

name: bytes2int-range subst: [bytes] → [bytes]

Additional information

Used terms: bytes