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Proof step 18 from proof band-011x-is-lastn (previous step)

i→n(i) ≤ # bits, # bits = i→n(i) + 1, int2bits(j) = bits0 + bits, i→n(i) < # bits, 0 < i, i→n(i) < # bits0 + # bits ⊦ bits2int(bitsand(bits, false ' + mklist(true, i→n(i)))) = bits2uint(lastn(i→n(i), bits)), i→n(i) = # bits0 + # bits, bits = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
# bits = i→n(i) + 1, int2bits(j) = bits0 + bits, i→n(i) < # bits, 0 < i, i→n(i) < # bits0 + # bits ⊦ i→n(i) = # bits0 + # bits, bits = [], bits2int(bitsand(bits, false ' + mklist(true, i→n(i)))) = bits2uint(bits.rest)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → m ≤ n;% ⊦ # bits = n + 1 → lastn(n, bits) = bits.rest;% ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;