I'm simply demonstrating that there exists a tuple (tax increase, basic income) that does not affect the median household. Note that post tax income is still a

I'm simply demonstrating that there exists a tuple (tax increase, basic income) that does not affect the median household. Note that post tax income is still a monotonic function of pre tax income. This is one of the reasons why I support BI. The current system is rather complicated and there are rare instances where it's better to not work. If benefits programs are largely replaced by BI then you will always make more money by working. This systems is also much easier to administer and doesn't involve anyone checking if you "deserve" the benefits because everyone gets them.