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Proof step 1 from proof band-ff (conclusion)

⊦ band(b2i(by), 255) = ub2i(by)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ b2i(by) < 0 → band(b2i(by), 255) = b2i(by) + 256

Rule argument

name: byte-011x-neg rotate: F subst: [by] → [by]

Additional information

Used simplifier rules: byte-mod-100x: ⊦ b2i(by) % 256 = b2i(by);%ubyte-pos: ⊦ 0 ≤ b2i(by) → ub2i(by) = b2i(by);%byte-equal: ⊦ b2i(byi) = b2i(byj) ↔ byi = byj;%ubyte-neg: ⊦ b2i(by) < 0 → ub2i(by) = 256 + b2i(by);% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = i + i0 ↔ j = i0;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ 0 ≤ i → band(i, 255) = i % 256;% ⊦ band(i, band(i0, j)) = band(band(i, i0), j);% ⊦ band(i, j) = band(j, i); Used terms: by