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Proof step 8 from proof intshiftrsign32 (previous step)

32 = n0 + i→n(band(j, 31)) ∧ i→n(band(j, 31)) ≤ 32, # int2bits(i) ≤ 32, band(j, 31) ≤ 32 ⊦ bits2int(sublist(0, # int2bits(i), mklist(¬ 0 ≤ i, i→n(band(j, 31))) + int2bits(i))) = bits2int(mklist(¬ 0 ≤ i, i→n(band(j, 31))) + sublist(0, n0, fillsgn(32, int2bits(i))))

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);%band-associativity: ⊦ band(i, band(i0, j)) = band(band(i, i0), j);%band-ls-zero-01: ⊦ ¬ band(j, 31) < 0;%numleledel: j0 ≠ 0, j ≤ j0 ⊦ i ≤ (* j) → i ≤ (* j0); from specification int-abs%num-i2n-le: 0 ≤ i ⊦ i→n(i) ≤ (* m) ↔ i ≤ n→i(m); from specification intnat%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs