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How to prove the equality?

Sara jj

New member
Sep 9, 2019
2
1) $\cap_{i=1}^{n} A_{i}= A_{1}\setminus \cup_{i=1}^{n}(A_{1}\setminus A_{i})$

2) $\cap_{i=1}^{\infty} A_{i}= A_{1}\setminus \cup_{i=1}^{\infty}(A_{1}\setminus A_{i})$
 

Cbarker1

Active member
Jan 8, 2013
236
You need to show that there are subsets to each other.

For example:
Let $A$ and $B$ be sets. Prove that $A=B$, ( to do that you need to show that $A \subseteq B$ and $B\subseteq A$ is true).