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Proof step 18 from proof cast-band (previous step)

lastn(i→n(i), fillsgn(i→n(i), int2bits(j))) ≠ [], # int2bits(j0) = m + 1, n→i(m) ≤ i, 0 ≤ j0 ⊦ bits2int(bitsand(sgn(lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))), int2bits(j0))) = bits2int(bitsand(int2bits(j), int2bits(j0)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ i→n(i) = 0 ↔ i = 0;% ⊦ lastn(n, bits) = [] ↔ n = 0;