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Proof step 8 from proof cast-law-shift-snd-r (previous step)

n→i((# int2bits(31))-1) ≤ i ∧ 0 ≤ 31, 5 ≤ i, 0 < i, 0 ≤ i ⊦ j0 i>> j = bits2int(sublist(0, # int2bits(j0), mklist(int2bits(j0).first, i→n(band(j, 31))) + int2bits(j0)))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ i i>> j = bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(band(j, 31))) + int2bits(i)))

Rule argument

name: intshiftrsign rotate: F subst: [j, i] → [j, j0]

Additional information

Used simplifier rules: band-commutativity: ⊦ band(i, j) = band(j, i); Used terms: j, j0