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