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Thread: Prove that if |A| ≤ |B| and |B| ≤ |C| then |A| ≤ |C|

  1. May 2nd 2008, 04:41 AM #1
    Jessica.M
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    Question Prove that if |A| ≤ |B| and |B| ≤ |C| then |A| ≤ |C|

    Hello,
    Can anyone help me on this question please ?

    Prove that if |A| ≤ |B| and |B| ≤ |C| then |A| ≤ |C|
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  2. May 2nd 2008, 08:00 AM #2
    ThePerfectHacker
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    Quote Originally Posted by Jessica.M View Post
    Hello,
    Can anyone help me on this question please ?

    Prove that if |A| ≤ |B| and |B| ≤ |C| then |A| ≤ |C|
    There are injections: \phi: A\mapsto B \mbox{ and }\psi : B\mapsto C.
    Hint: \psi \circ \phi : A\mapsto C.
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