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Proof step 7 from proof ushort-band-shift (previous step)

s2i(sho) < 0, ~65536 ≤ s2i(sho) ⊦ band(s2i(sho) i>> 8, 255) = band(255, (65536 + s2i(sho)) / 256)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 0 ≤ i → band(i, 255) = i % 256 subst: [i] → [(65536 + s2i(sho)) / 256] rotate: F spec: intops inst: name: band-255-pos

Additional information

Used simplifier rules: ⊦ ¬ i ≤ j ↔ j < i;%0 < j ⊦ i / (* j) < 0 ↔ i + j ≤ 0;% ⊦ i + (* j) ≤ (* j0) ↔ i ≤ j0 - j;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = j + i;% ⊦ j ≤ i ∧ i ≤ 0 → j ≤ 0; (forward)% ⊦ j ≤ j0 ∧ j0 ≤ j1 → j ≤ j1; (forward)% ⊦ band(i, j) = band(j, i); Used terms: (65536 + s2i(sho)) / 256