# Infinite Venn diagram

Probability Level 2

$\Large \bigcap_{n=1}^{m}A_{n} \neq \varnothing$

If the above equation is true for all natural numbers $m$, then must the following expression also be true? $\Large \bigcap_{n=1}^{\infty}A_{n}\neq \varnothing$

Details: $A_1,A_2,A_3,\ldots$ are sets and $\varnothing$ denotes the empty set.

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