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Proof step 7 from proof intshiftrzero-prop-01 (previous step)

~2147483648 ≤ i, i < 0 ⊦ band(j, 31) = 0, bits2int(sublist(0, # fillsgn(32, int2bits(i)), mklist(false, i→n(band(j, 31))) + fillsgn(32, int2bits(i)))) = (2 i<< ~(j + 1)) + (i i>> j)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

name: intshiftleft rotate: F subst: [j, i] → [~(j + 1), 2]

Additional information

Used terms: ~(j + 1), 2