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Proof step 13 from proof fits-law-bor-02 (previous step)

⊦ s2i(i2s(band(bcompl(s2i(sho1)), bcompl(s2i(sho2))))) = band(bcompl(s2i(sho1)), bcompl(s2i(sho2))), bcompl(band(bcompl(s2i(sho1)), bcompl(s2i(sho2)))) = s2i(i2s(bcompl(band(bcompl(s2i(sho1)), bcompl(s2i(sho2)))))), s2i(i2s(bcompl(s2i(sho1)))) = bcompl(s2i(sho1)) ∧ bcompl(s2i(sho2)) ∈short

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ i ∈short → s2i(i2s(bcompl(i))) = bcompl(i)
Proof step 15:
s2i(sho1) ∈short ⊦ s2i(i2s(band(bcompl(s2i(sho1)), bcompl(s2i(sho2))))) = band(bcompl(s2i(sho1)), bcompl(s2i(sho2))), bcompl(band(bcompl(s2i(sho1)), bcompl(s2i(sho2)))) = s2i(i2s(bcompl(band(bcompl(s2i(sho1)), bcompl(s2i(sho2)))))), bcompl(s2i(sho1)) = bcompl(s2i(sho1)) ∧ bcompl(s2i(sho2)) ∈short

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)