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Proof step 4 from proof intshiftright-unbounded-same (previous step)

i < 32, 0 ≤ i ⊦ bits2int(sublist(0, # int2bits(j), mklist(int2bits(j).first, i→n(band(i, 31))) + int2bits(j))) = j >> i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
i < 32, 0 ≤ i ⊦ bits2int(sublist(0, # int2bits(j), mklist(¬ 0 ≤ j, i→n(i)) + int2bits(j))) = j >> i

Rule argument

Additional information

Used simplifier rules: band-31-pos: ⊦ 0 ≤ i ∧ i < 32 → band(i, 31) = i;%band-associativity: ⊦ band(i, band(i0, j)) = band(band(i, i0), j);%band-commutativity: ⊦ band(i, j) = band(j, i);% ⊦ ¬ i < j ↔ j ≤ i;% ⊦ int2bits(j).first ↔ j < 0;