Recent content by bfh227

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    Proof of Well Ordering Property

    Thanks a lot for the responses. The approximation property for infima does indeed seem to close the gap. Funnily, it wasn't in the textbook.
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    Proof of Well Ordering Property

    Homework Statement I am working through an introductory real analysis textbook and am having a little trouble with certain aspects of the proof of the well ordering property (I am new to proving). Theorem: Every nonempty subset of the natural numbers (N) has a smallest element. Proof: Let...