| ¬ 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))))), int2bits(bits2int(bitsand(sgn(bitsinvert(int2bits(i))), int2bits(j)))))) |
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))))), int2bits(bits2int([]))))