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Math Help - partial orders

  1. #1
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    partial orders

    Q:
    Suppose that
    S is a set. Prove that

    (P(S);c) is a partial order. Where c is 'subset' and P(s) is the power set.

    Not sure how to show reflexive.

    Thanks
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by CarmineCortez View Post
    Q:

    Suppose that
    S is a set. Prove that
    (P(S);c) is a partial order. Where c is 'subset' and P(s) is the power set.

    Not sure how to show reflexive.

    Thanks
    The definition of reflexive is

    \forall A \in \mathcal{P}(S) \text{ } A \subseteq A

    i.e every set is a subset of its self. I hope this helps
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