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Proof step 6 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<< (~ j - 1)), band(j, 31) = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
~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)

Rule argument

Additional information

Used simplifier rules: ⊦ ~ i - j = ~(i + j);