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Proof step 19 from proof fits-law-band-01 (previous step)

s2i(sho1) < 0, 0 ≤ band(s2i(sho1), b2i(by2)), 0 < band(s2i(sho1), b2i(by2)), 32768 ≤ band(s2i(sho1), b2i(by2)) ⊦ band(s2i(sho1), b2i(by2)) = s2i(i2s(band(s2i(sho1), b2i(by2))))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

seq: ⊦ 0 ≤ i ∧ i < i0 → ¬ i0 ≤ band(j, i) subst: [i, j, i0] → [b2i(by2), s2i(sho1), 32768] rotate: F spec: intops inst: name: band-max-06

Additional information

Used simplifier rules: byte-nge: i ≥ 128 ⊦ ¬ (* i) ≤ b2i(by);% ⊦ band(i, j) = band(j, i);% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ i < 0 ∧ j < 0 → ¬ 0 ≤ band(i, j);% ⊦ band(i, band(i0, j)) = band(band(i, i0), j); Used terms: b2i(by2), s2i(sho1), 32768