inf(S) = -sup(-S)
inf(S) = -sup(-S) In this video, I present a neat identity relating inf and sup. This means that, from now on, everything that we say for sup will hold for inf as well. Moreover, using this, we can prove the greatest lower bound property. Enjoy! Check out my Real Numbers Playlist: • Real Numbers Check out my Teespring Merch: https://teespring.com/stores/dr-peyam

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Archimedean Property

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Sup A+B = Sup A + Sup B

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epsilon-N definition for a limit at infinity (introduction & how to write the proof)

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The Least Upper Bound Property

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Cauchy Sequences

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Supremum and infimum EXAMPLES — Part 1 — Real ANALYSIS — Mathematics

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