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Proof step 11 from proof intshiftrzero-prop-01 (previous step)

¬(¬ false ∈ int2bits(31).rest ∧ 0 ≤ 31), ~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)))) = bits2int(int2bits(2) + mklist(false, i→n(band(~(j + 1), 31)))) + (i i>> j)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
~2147483648 ≤ i, i < 0, false ∈ int2bits(31).rest ⊦ band(j, 31) = 0, bits2int(sublist(0, # fillsgn(32, int2bits(i)), mklist(false, i→n(band(j, 31))) + fillsgn(32, int2bits(i)))) = bits2int(int2bits(2) + mklist(false, i→n(band(~(j + 1), 31)))) + (i i>> j)

Proof step 11 from proof intshiftrzero-prop-01 (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information