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Proof step 3 from proof intshiftrsign-band31 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ band(band(i, j), j) = band(i, j)
Proof step 5:
⊦ i i>> j = (# int2bits(i) ≤ i→n(band(j, 31)) ⊃ (i < 0 ⊃ ~1;0);bits2int(sublist(0, # int2bits(i) - i→n(band(j, 31)), int2bits(i))))

Rule argument

name: band-idempotent rotate: F subst: [j, i] → [31, j]

Additional information

Used terms: 31, j