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Proof step 7 from proof band-011x-is-lastn (previous step)

i→n(i) < # int2bits(j), 0 < i ⊦ band(j, 2 ^ i - 1) = bits2uint(lastn(i→n(i), int2bits(j))), i→n(i) = # int2bits(j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ band(i, j) = bits2int(bitsand(int2bits(i), int2bits(j)))
Proof step 9:
i→n(i) < # int2bits(j), 0 < i ⊦ bits2int(bitsand(int2bits(j), int2bits(2 ^ i - 1))) = bits2uint(lastn(i→n(i), int2bits(j))), i→n(i) = # int2bits(j)

Rule argument

name: band-def rotate: F subst: [j, i] → [2 ^ i - 1, j]

Additional information

Used terms: 2 ^ i - 1, j