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Proof step 9 from proof band-011x-is-lastn (previous step)

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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
i→n(i) < # int2bits(j), 0 < i ⊦ i→n(i) = # int2bits(j), bits2int(bitsand(int2bits(j), false ' + mklist(true, i→n(i)))) = bits2uint(lastn(i→n(i), int2bits(j)))

Rule argument

Additional information

Used simplifier rules: 0 ≤ i ⊦ int2bits(2 ^ i - 1) = false ' + mklist(true, i→n(i));% ⊦ ¬ i ≤ j ↔ j < i;% ⊦ i < j → ¬ j < i;