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Proof step 3 from proof fits-law-shr-01 (previous step)

abs(s2i(sho) i>> i) ≤ abs(s2i(sho)) ⊦ s2i(sho) i>> i = s2i(i2s(s2i(sho) i>> i))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ i i>> j = i i>> band(j, 31)
Proof step 5:
abs(s2i(sho) i>> band(i, 31)) ≤ abs(s2i(sho)) ⊦ s2i(sho) i>> band(i, 31) = s2i(i2s(s2i(sho) i>> band(i, 31)))

Rule argument

seq: ⊦ i i>> j = i i>> band(j, 31) subst: [j, i] → [i, s2i(sho)] rotate: F spec: intops inst: name: shiftrsign-band31

Additional information

Used terms: i, s2i(sho)