deletions | additions       diff --git a/For_any_set_A_show__.tex b/For_any_set_A_show__.tex  index e92a35b..d7c6075 100644  --- a/For_any_set_A_show__.tex  +++ b/For_any_set_A_show__.tex 
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For any set A, show there is a one-to-one correspondence between the $\mathcal{P}(A)$ of all subsets of A and the set 2^A $2^A$  of all functions $\alpha: A\to \{0,1\}$. (Hint: use the indicator function of a set). P(A) $\leftarrow$ (0,1)  \[ \int_-\inf^b 2^A + \int_b^a 2^A + \int_b^\inf 2^A \]  \[ \left\{  \begin{array}{ll}  0 & x\leq a \\