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

0 < bytes2int(bytes), 65536 ≤ bytes2int(bytes), 0 ≤ bytes2int(bytes), # bytes ≤ 2, bytes2int(bytes) < 2 ^ n→i(# bytes * 8 - 1), 0 ≤ 2 ^ n→i(# bytes * 8 - 1) + bytes2int(bytes), 65536 < 2 ^ n→i(# bytes * 8 - 1) ⊦ bytes = [], # bytes * 8 - 1 = 0

User applied rule cut formula

And obtained the following new goals

Proof step 9:
65536 = 2 ^ 16, 0 < bytes2int(bytes), 65536 ≤ bytes2int(bytes), 0 ≤ bytes2int(bytes), # bytes ≤ 2, bytes2int(bytes) < 2 ^ n→i(# bytes * 8 - 1), 0 ≤ 2 ^ n→i(# bytes * 8 - 1) + bytes2int(bytes), 65536 < 2 ^ n→i(# bytes * 8 - 1) ⊦ bytes = [], # bytes * 8 - 1 = 0

Rule argument

fma: 65536 = 2 ^ 16

Additional information

Used formulas: 65536 = 2 ^ 16