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Proof step 3 from proof intshiftzero-def-unbounded (previous step)

⊦ bits2int(sublist(0, # fillsgn(32, int2bits(j)), mklist(false, i→n(band(i, 31))) + fillsgn(32, int2bits(j)))) = >>>(32, j, band(i, 31))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ >>>(n, i, j) = bits2int(sublist(0, # fillsgn(n, int2bits(i)), mklist(false, i→n(j)) + fillsgn(n, int2bits(i))))

Rule argument

name: shiftrzero-def-01 rotate: F subst: [j, i, n] → [band(i, 31), j, 32]

Additional information

Used simplifier rules: band-commutativity: ⊦ band(i, j) = band(j, i); Used terms: band(i, 31), j, 32