Intersection of Power set and Power set of power set. – math.stackexchange.com

If P(S) denotes power set of a set S then is P(S) $\cap$ P(P(S)) ={$\phi$} ? My book says its true. I considered a simple set S={1,2} Now P(S) = {$\phi$, {1}, {2}, {1,2}} P(P(S))= ...

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