# Power of nothing!

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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