What is true about the mathematical statements below?

\(1)\) \(\left\{ \emptyset \right\} \subset \left\{ \left\{ \emptyset \right\} \right\} \)

\(2)\) \(\emptyset \subset \left\{ \left\{ \emptyset \right\} \right\} \)

**Details and Assumptions**:

\(\subset \) means is subset of.

\(\emptyset \) has the same meaning as is generally used in set theory.

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