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Proof step 9 from proof fits-law-band-02 (previous step)

band(s2i(sho1), s2i(sho2)) < ~32768, band(s2i(sho1), s2i(sho2)) < 0, s2i(sho1) < 0 ⊦ 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 10:
⊦ 0 ≤ j → ¬ band(i, j) < 0
Proof step 11:
¬ 0 ≤ s2i(sho2), band(s2i(sho1), s2i(sho2)) < ~32768, band(s2i(sho1), s2i(sho2)) < 0, s2i(sho1) < 0 ⊦ band(s2i(sho1), s2i(sho2)) = s2i(i2s(band(s2i(sho1), s2i(sho2))))

Rule argument

seq: ⊦ 0 ≤ j → ¬ band(i, j) < 0 subst: [j, i] → [s2i(sho2), s2i(sho1)] rotate: F spec: intops inst: name: band-notneg-01

Additional information

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