| bitsand(sgn(bitsinvert(int2bits(i))), int2bits(j)) ≠ [] ⊦ bitsand(int2bits(i), sgn(bitsinvert(int2bits(j)))) = [], bits2int(bitsxor(int2bits(i), int2bits(j))) = bits2int(bitsor(sgn(bitsand(int2bits(i), sgn(bitsinvert(int2bits(j))))), sgn(bitsand(sgn(bitsinvert(int2bits(i))), int2bits(j))))) |
⊦ bitsand(sgn(bitsinvert(int2bits(i))), int2bits(j)) = [], bits2int(bitsxor(int2bits(i), int2bits(j))) = bits2int(bitsor(sgn(bitsand(int2bits(i), sgn(bitsinvert(int2bits(j))))), sgn(bitsand(sgn(bitsinvert(int2bits(i))), int2bits(j))))), bitsand(int2bits(i), sgn(bitsinvert(int2bits(j)))) = []