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Proof step 21 from proof fits-law-band-02 (previous step)

¬(0 ≤ s2i(sho2) ∧ s2i(sho2) < 32768), s2i(sho1) < 0, 0 ≤ band(s2i(sho1), s2i(sho2)), 0 < band(s2i(sho1), s2i(sho2)), 32768 ≤ band(s2i(sho1), s2i(sho2)) ⊦ band(s2i(sho1), s2i(sho2)) = s2i(i2s(band(s2i(sho1), s2i(sho2))))

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: short-max-01: ⊦ ¬ 32768 ≤ s2i(sho);% ⊦ band(i, band(i0, j)) = band(band(i, i0), j);% ⊦ i < 0 ∧ j < 0 → ¬ 0 ≤ band(i, j);% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ band(i, j) = band(j, i);