If B is included in C, then the power set of B is included in the power set of C?

  1. Feb 10, 2004 #1
    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. jcsd
  3. Feb 10, 2004 #2

    Hurkyl

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    What have you tried already? I'd imagine just starting with the definitions would give a strong clue.
     
  4. Apr 6, 2004 #3
    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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