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Nodata
 2 years ago
Let the set T be \(T:=\{1,2,\{1,2\}\}\). Is this true:
\[T\wp T=\wp T  T\]
Nodata
 2 years ago
Let the set T be \(T:=\{1,2,\{1,2\}\}\). Is this true: \[T\wp T=\wp T  T\]

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Nodata
 2 years ago
Best ResponseYou've already chosen the best response.0Sorry, I thought I would be an interesting question but I just saw that is an easy one.

wio
 2 years ago
Best ResponseYou've already chosen the best response.2\[ T  \mathcal P(T) \]Will give you \[ \{1, 2\} \]

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah and the other side is \(\{\emptyset, \{1\},\{2\}\}\)

wio
 2 years ago
Best ResponseYou've already chosen the best response.2Yet \[ \mathcal P(T)  T \]Will get you a bunch of sets.

wio
 2 years ago
Best ResponseYou've already chosen the best response.2@Nodata It's gonna be a lot bigger than that.

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.0My bad, you're right it has to be 7 elements.

wio
 2 years ago
Best ResponseYou've already chosen the best response.2\[ T = 3 \\ \mathcal P(T) = 2^{T} = 2^3 = 8 \]You only gonna be taking out \(\{1,2\}\) so it should be 7 elements.

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.0Maybe I should take a rest lol.
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