Power of nothing!

What is true about the mathematical statements below?

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

2)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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