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Proof step 23 from proof fits-law-bxor-01 (previous step)

~32768 ≤ bcompl(b2i(by2)), bcompl(b2i(by2)) ≤ 32767 ⊦ bor(band(s2i(sho1), bcompl(b2i(by2))), band(bcompl(s2i(sho1)), b2i(by2))) = s2i(i2s(bor(band(s2i(sho1), bcompl(b2i(by2))), band(bcompl(s2i(sho1)), b2i(by2))))), s2i(i2s(band(bcompl(s2i(sho1)), b2i(by2)))) = band(bcompl(s2i(sho1)), b2i(by2)), s2i(i2s(bcompl(s2i(sho1)))) = bcompl(s2i(sho1))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 24:
⊦ i ∈short → s2i(i2s(bcompl(i))) = bcompl(i)

Rule argument

name: bcompl-sis rotate: F subst: [i] → [s2i(sho1)]

Additional information

Used simplifier rules: short2int-in: ⊦ s2i(sho) ∈short; Used terms: s2i(sho1)