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Math Help - Proof of equality in the Natural Numbers

  1. #1
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    Proof of equality in the Natural Numbers

    Let m,n be elements of the Integers. If m <= n <= m then m = n.

    Seems obvious but I'm not sure of how to word this in a proof. Any help would be appreciated!
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    Quote Originally Posted by jstarks44444 View Post
    Let m,n be elements of the Integers. If m <= n <= m then m = n.

    Seems obvious but I'm not sure of how to word this in a proof. Any help would be appreciated!


    For example: suppose m<n\Longrightarrow \exists\,0<k\in\mathbb{N}\,\,s.t.\,\,m+k=n . Develop and get a contradiction.

    Tonio
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