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Proof step 12 from proof bytes2int-2-le-32767 (previous step)

256 ≤ abs(band(b2i(by1), 255)), 32768 ≤ band(b2i(by1), 255) + 256 * b2i(by), 0 ≤ band(b2i(by1), 255) + 256 * b2i(by), 0 < band(b2i(by1), 255) + 256 * b2i(by) ⊦ b2i(by1) = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ ¬ j < 0 → abs(j) = j

Rule argument

seq: ⊦ ¬ j < 0 → abs(j) = j subst: [j] → [band(b2i(by1), 255)] rotate: F spec: int-abs inst: name: Abs-pos

Additional information

Used simplifier rules: ⊦ 0 ≤ i → ¬ band(i, j) < 0;% ⊦ ¬ 256 ≤ band(i, 255);% ⊦ band(i, band(i0, j)) = band(band(i, i0), j);% ⊦ band(i, j) = band(j, i); Used terms: band(b2i(by1), 255)