Infinite Venn diagram

Probability Level 2

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

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

Details: A1,A2,A3,A_1,A_2,A_3,\ldots are sets and \varnothing denotes the empty set.

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