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Determine Whether the Given Set Is the Power Set of Some

Question 16

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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.
- {,{},{a},{{a}},{{{a}}},{,a},{,{a}},{,{{a}}},{a,{a}},{a,{{a}}},{{a},{{a}}}\{ \emptyset , \{ \emptyset \} , \{ a \} , \{ \{ a \} \} , \{ \{ \{ a \} \} \} , \{ \emptyset , a \} , \{ \emptyset , \{ a \} \} , \{ \emptyset , \{ \{ a \} \} \} , \{ a , \{ a \} \} , \{ a , \{ \{ a \} \} \} , \{ \{ a \} , \{ \{ a \} \} \} , {,a,{a}},{,a,{{a}}},{,{a},{{a}}},{a,{a},{{a}}},{,a,{a},{{a}}}}\{ \emptyset , a , \{ a \} \} , \{ \emptyset , a , \{ \{ a \} \} \} , \{ \emptyset , \{ a \} , \{ \{ a \} \} \} , \{ a , \{ a \} , \{ \{ a \} \} \} , \{ \emptyset , a , \{ a \} , \{ \{ a \} \} \} \}

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