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Proof step 1 from proof fits-law-band-02 (conclusion)

⊦ band(s2i(sho1), s2i(sho2)) = s2i(i2s(band(s2i(sho1), s2i(sho2))))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ ~32768 ≤ i ∧ i < 32768 → s2i(i2s(i)) = i
Proof step 3:
¬(~32768 ≤ band(s2i(sho1), s2i(sho2)) ∧ band(s2i(sho1), s2i(sho2)) < 32768) ⊦ band(s2i(sho1), s2i(sho2)) = s2i(i2s(band(s2i(sho1), s2i(sho2))))

Rule argument

name: short-inrange rotate: F subst: [i] → [band(s2i(sho1), s2i(sho2))]

Additional information

Used simplifier rules: ⊦ band(i, j) = band(j, i); Used terms: band(s2i(sho1), s2i(sho2))