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Proof step 5 from proof band-65535-pos (previous step)

# bytes ≤ 2, 0 ≤ bytes2int(bytes), 65536 ≤ bytes2int(bytes), 0 < bytes2int(bytes) ⊦ bytes = []

User applied rule insert lemma

And obtained the following new goals

Proof step 6:
bytes ≠ [] ⊦ ~(2 ^ n→i(# bytes * 8 - 1)) ≤ bytes2int(bytes) ∧ bytes2int(bytes) < 2 ^ n→i(# bytes * 8 - 1)
Proof step 7:
~(2 ^ n→i(# bytes * 8 - 1)) ≤ bytes2int(bytes) ∧ bytes2int(bytes) < 2 ^ n→i(# bytes * 8 - 1), # bytes ≤ 2, 0 ≤ bytes2int(bytes), 65536 ≤ bytes2int(bytes), 0 < bytes2int(bytes) ⊦ bytes = []

Rule argument

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

Additional information

Used terms: bytes