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Set contains elements that are *themselves* sets

  1. Apr 15, 2008 #1

    cepheid

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    If a set contains elements that are *themselves* sets, then would it be correct to say that one of those elements is a subset of the set?

    E.g.

    Q = { {a}, {b}, {c} }

    I know that { {a} } is a subset of Q (because it contains ONE of the elements)

    But is {a} a subset of Q?

    I don't think so, because none of the elements of {a} are present in Q.
     
  2. jcsd
  3. Apr 15, 2008 #2

    Hurkyl

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    You are correct.
     
  4. Apr 15, 2008 #3

    cepheid

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    thanks
     
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