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If B is included in C, then the power set of B is included in the power set of C? 
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#1
Feb1004, 08:18 PM

P: 124

How do you show that if B is included in C, then the power set of B is included in the power set of C?



#2
Feb1004, 10:44 PM

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P: 16,092

What have you tried already? I'd imagine just starting with the definitions would give a strong clue.



#3
Apr604, 04:17 PM

P: 23

Power set of C includes all subsets of C, which means that it also includes all subsets of a subset (B). Thus it includes the power set of B.
Is this formal enough? 


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