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Question:
show that n{P[P.(P{})]}= 4
Answer:

We have P(Φ) = {Φ}

Now, P(P(Φ)) = {Φ, {Φ}}

Now, P(P(P(Φ))) = {Φ, {Φ}, {{Φ}}, {{Φ, {Φ}}}}

Hence, P(P(P(Φ))) contains 4 elements,

So, n{P(P(P(Φ)))} = 4

 

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