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Proof step 6 from proof short-2bytes-03 (previous step)

0 < band(b2i(by0), 255) + 256 * b2i(by), 32768 < band(b2i(by0), 255) + 256 * b2i(by) ⊦ 32768 < band(b2i(by0), 255) + 256 * 127

User applied rule cut formula

And obtained the following new goals

Proof step 7:
256 * b2i(by) ≤ 256 * 127, 0 < band(b2i(by0), 255) + 256 * b2i(by), 32768 < band(b2i(by0), 255) + 256 * b2i(by) ⊦ 32768 < band(b2i(by0), 255) + 256 * 127

Rule argument

fma: 256 * b2i(by) ≤ 256 * 127

Additional information

Used simplifier rules: ⊦ 0 < i ∧ 0 ≤ j → ((* i) * i0 ≤ (* j) ↔ i0 ≤ j / i);% ⊦ b2i(by) ≤ 127;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i * j = j * i; Used formulas: 256 * b2i(by) ≤ 256 * 127