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Proof step 1 from proof band-65535-neg (conclusion)

⊦ i < 0 → band(i, 65535) = (i + 1) % 65536 + 65535

User applied rule cut formula

And obtained the following new goals

Proof step 2:
65535 = 2 ^ 16 - 1 ⊦ i < 0 → band(i, 65535) = (i + 1) % 65536 + 65535

Rule argument

fma: 65535 = 2 ^ 16 - 1

Additional information

Used formulas: 65535 = 2 ^ 16 - 1