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Proof step 2 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)))

User applied rule cut formula

And obtained the following new goals

Proof step 3:
i→n(i) = # int2bits(j), i→n(i) ≤ # int2bits(j), 0 < i ⊦ band(j, 2 ^ i - 1) = bits2uint(lastn(i→n(i), int2bits(j)))
Proof step 6:
i→n(i) ≤ # int2bits(j), 0 < i ⊦ i→n(i) = # int2bits(j), band(j, 2 ^ i - 1) = bits2uint(lastn(i→n(i), int2bits(j)))

Rule argument

fma: i→n(i) = # int2bits(j)

Additional information

Used formulas: i→n(i) = # int2bits(j)