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Proof step 2 from proof cast-law-shift-snd-l (previous step)

5 ≤ i, 0 < i, 0 ≤ i ⊦ j0 i<< j = j0 i<< cast(i, j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ i i<< j = bits2int(int2bits(i) + mklist(false, i→n(band(j, 31))))
Proof step 4:
5 ≤ i, 0 < i, 0 ≤ i ⊦ j0 i<< j = bits2int(int2bits(j0) + mklist(false, i→n(band(cast(i, j), 31))))

Rule argument

name: intshiftleft rotate: F subst: [j, i] → [cast(i, j), j0]

Additional information

Used terms: cast(i, j), j0