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Proof step 3 from proof fits-law-band-02 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ band(s2i(sho1), s2i(sho2)) = s2i(i2s(band(s2i(sho1), s2i(sho2)))), ¬ band(s2i(sho1), s2i(sho2)) < ~32768 ∧ ¬ 32768 ≤ band(s2i(sho1), s2i(sho2))

Rule argument

Additional information

Used simplifier rules: ⊦ band(i, j) = band(j, i);% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ ¬ i ≤ j ↔ j < i;