# Infinite Venn diagram

**Discrete Mathematics**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.