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Proof step 4 from proof shiftzero-zero-size (previous step)

⊦ j = 0, bits2int(sublist(0, # int2bits(i), mklist(false, i→n(j)) + int2bits(i))) = bits2uint(int2bits(i)) >> j

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)))
Proof step 6:
⊦ j = 0, bits2int(sublist(0, # int2bits(i), mklist(false, i→n(j)) + int2bits(i))) = bits2int (sublist(0, # int2bits(bits2uint(int2bits(i))), mklist(int2bits(bits2uint(int2bits(i))).first, i→n(j)) + int2bits(bits2uint(int2bits(i)))))

Rule argument

name: shiftrsign-01 rotate: F subst: [j, i] → [j, bits2uint(int2bits(i))]

Additional information

Used terms: j, bits2uint(int2bits(i))