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Proof step 9 from proof short-2bytes (previous step)

band(b2i(by0), 255) + 256 * b2i(by) < ~32768, band(b2i(by0), 255) + 256 * b2i(by) < 0 ⊦ s2i(i2s(band(b2i(by0), 255) + 256 * b2i(by))) = band(b2i(by0), 255) + 256 * b2i(by)

User applied rule cut formula

And obtained the following new goals

Rule argument

fma: band(b2i(by0), 255) + 256 * ~128 < ~32768

Additional information

Used simplifier rules: ⊦ band(i, j) = band(j, i);% ⊦ i * j = j * i;% ⊦ i + j = j + i;%i < 0 ⊦ (* i) + j = j - ~ i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i - j < i0 ↔ i < j + i0;% ⊦ 0 ≤ i → ¬ band(i, j) < 0;% ⊦ band(i, band(i0, j)) = band(band(i, i0), j); Used formulas: band(b2i(by0), 255) + 256 * ~128 < ~32768