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Proof step 4 from proof intshiftrzero-prop-01 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ bcompl(i) = ~ i - 1
Proof step 6:
~2147483648 ≤ i, i < 0 ⊦ bits2int(sublist(0, # fillsgn(32, int2bits(i)), mklist(false, i→n(band(j, 31))) + fillsgn(32, int2bits(i)))) = (i i>> j) + (2 i<< (~ j - 1)), band(j, 31) = 0

Rule argument

name: compl-def rotate: F subst: [i] → [j]

Additional information

Used terms: j