Issue: chapter 11

[JacksonRudd]

There is an issue on chapter 11, in the following paragraph """ Now that we got the intuition, let’s look at the mathematical proof. We want to show that (Y1 , Y2) independent of T | P(x) is equivalent to saying that E(T|P(x),X ) = E(T| P(x)).

"""

You actually never show that these statements are equivalent. Why are they equivalent?

[JacksonRudd]

I seems you show that E(T|P(x),X ) = E(T| P(x)). is true, but not why it is equivalent to (Y1 , Y2) independent of T | P(x)

[lihongjie1997]

Hello, the latest revision of chapter 11 still does not elaborate on the reasons for the equivalence, has this problem been solved?