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

  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. Hurkyl

    Hurkyl 16,090
    Staff Emeritus
    Science Advisor
    Gold Member

    What have you tried already? I'd imagine just starting with the definitions would give a strong clue.
     
  4. 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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