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Proof step 1 from proof intshiftleft-is-shiftleft (conclusion)

⊦ i i<< j = i << band(j, 31)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ i << j = bits2int(int2bits(i) + mklist(false, i→n(j)))
Proof step 3:
⊦ i i<< j = bits2int(int2bits(i) + mklist(false, i→n(band(j, 31))))

Rule argument

name: shiftleft-01 rotate: F subst: [j, i] → [band(j, 31), i]

Additional information

Used terms: band(j, 31), i