Yeah someone else pointed out a similar point about the bijection of evens and odds, good point. My initial claim is incorrect, so I'll concede that. I was oper

Yeah someone else pointed out a similar point about the bijection of evens and odds, good point. My initial claim is incorrect, so I'll concede that. I was operating from the idea that there is no bijection between the naturals and a parity check function, but you're right that if one sequence is normal the second set should also be normal regardless of invertibility.