| bitsand(sgn(lastn(i→n(i), fillsgn(i→n(i), int2bits(j)))), int2bits(j0)) = [], 0 < i ⊦ bits2int(lastn(i→n(i), fillsgn(i→n(i), bitsand(int2bits(j), int2bits(j0))))) = bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(bits2int([]))))) |
⊦ bits ≠ [] ∧ bits0 ≠ [] → bitsand(bits, bits0) ≠ []
Used simplifier rules: ⊦ sgn(bits) = [] ↔ bits = [];% ⊦ lastn(n, bits) = [] ↔ n = 0;% ⊦ i→n(i) = 0 ↔ i = 0;% ⊦ int2bits(j) ≠ [];% ⊦ fillsgn(0, bits) = bits;% ⊦ lastn(0, bits) = [];% ⊦ sgn([]) = []; Used terms: int2bits(j0), sgn(lastn(i→n(i), fillsgn(i→n(i), int2bits(j))))