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Proof step 1 from proof intshiftrsign32 (conclusion)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ i i>> j = bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(band(j, 31))) + int2bits(i)))
Proof step 3:
⊦ # int2bits(i) ≤ 32 → bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(band(j, 31))) + int2bits(i))) = bits2int(sublist(0, 32, mklist(int2bits(i).first, i→n(band(j, 31))) + fillsgn(32, int2bits(i))))

Rule argument

spec: intops inst: name: intshiftrsign seq: ⊦ i i>> j = bits2int (sublist (0, # int2bits(i), mklist(int2bits(i).first, i→n(band(j, 31))) + int2bits(i))) subst: [j, i] → [j, i] flags: rewrite, current

Additional information

Used terms: j, i