Determine Whether the Given Set Is the Power Set of Some

question 6

Short Answer

determine whether the given set is the power set of some set. If the set is a power set, give
the set of which it is a power set.
- $$\begin{array} { c } \{ \emptyset , \{ \emptyset \} , \{ a \} , \{ \{ a \} \} , \{ \{ \{ a \} \} \} , \{ \emptyset , a \} , \{ \emptyset , \{ a \} \} , \{ \emptyset , \{ \{ a \} \} \} , \{ a , \{ a \} \} , \{ a , \{ \{ a \} \} \} , \{ \{ a \} , \{ \{ a \} \} \} , \\\{ \emptyset , a , \{ a \} \} , \{ \emptyset , a , \{ \{ a \} \} \} , \{ \emptyset , \{ a \} , \{ \{ a \} \} \} , \{ a , \{ a \} , \{ \{ a \} \} \} , \{ \emptyset , a , \{ a \} , \{ \{ a \} \} \} \}\end{array}$$

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Definitions:

Diversity of Citizenship

A legal principle allowing federal courts to hear cases in which the parties are citizens of different states or countries.

Federal Substantive Law

Pertains to the body of law that creates, defines, and regulates the rights and duties of parties within the United States federal legal system.

State Substantive Law

Laws that govern how matters such as contracts, property, and family issues are to be handled within a state.

Federal Procedural Law

Rules that govern the procedures for courts and judicial administration within the federal legal system.