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

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ i >> j = bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(j)) + int2bits(i)))

Rule argument

name: shiftrsign-01 rotate: F subst: [j, i] → [band(i, 31), j]

Additional information

Used simplifier rules: band-commutativity: ⊦ band(i, j) = band(j, i);% ⊦ int2bits(j).first ↔ j < 0;% ⊦ ¬ i < j ↔ j ≤ i; Used terms: band(i, 31), j