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Proof step 31 from proof intshiftrzero-prop-01 (previous step)

i→n(band(j, 31)) ≤ 31, ~2147483648 ≤ i, i < 0, band(j, 31) ≤ 31, 0 < band(j, 31) ⊦ band(j, 31) = 0, bits2int(sublist(0, # fillsgn(32, int2bits(i)), mklist(false, i→n(band(j, 31))) + fillsgn(32, int2bits(i)))) = 2 ^ (n→i(31) - n→i(i→n(band(j, 31)))) * 2 + (i i>> j), false ∈ int2bits(31).rest

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: band-commutativity: ⊦ band(i, j) = band(j, i);%j0 ≠ 0, j ≤ j0 ⊦ i ≤ (* j) → i ≤ (* j0);%0 ≤ i ⊦ i→n(i) ≤ (* m) ↔ i ≤ n→i(m);% ⊦ i ≠ j → (i ≤ j ↔ i < j);% ⊦ 0 < i → n→i(i→n(i)) = i;