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Proof step 2 from proof intshiftrsign-if (previous step)

⊦ i i>> j = (¬ i→n(band(j, 31)) < # int2bits(i) ⊃ (¬ 0 ≤ i ⊃ ~1;0);bits2int(sublist(0, # int2bits(i) - i→n(band(j, 31)), int2bits(i))))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ i i>> j = bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(band(j, 31))) + int2bits(i)))
Proof step 4:
⊦ bits2int(sublist(0, # int2bits(i), mklist(int2bits(i).first, i→n(band(j, 31))) + int2bits(i))) = (¬ i→n(band(j, 31)) < # int2bits(i) ⊃ (¬ 0 ≤ i ⊃ ~1;0);bits2int(sublist(0, # int2bits(i) - i→n(band(j, 31)), int2bits(i))))

Rule argument

name: intshiftrsign rotate: F subst: [j, i] → [j, i]

Additional information

Used terms: j, i