A problem on infimum and supremum. Prove.

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SUMMARY

The discussion centers on a mathematical problem regarding the concepts of infimum and supremum, specifically focusing on a proof by contradiction. The original poster seeks feedback on the sufficiency of their proof. Additionally, participants suggest using LaTeX for clearer communication, which enhances readability and facilitates easier engagement from others in the forum.

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  • Understanding of infimum and supremum in real analysis
  • Familiarity with proof techniques, particularly proof by contradiction
  • Basic knowledge of LaTeX for mathematical typesetting
  • Experience with mathematical discussions in online forums
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  • Study the properties of infimum and supremum in detail
  • Practice constructing proofs by contradiction in various mathematical contexts
  • Learn how to effectively use LaTeX for mathematical expressions
  • Engage in online forums to discuss and critique mathematical proofs
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Mathematics students, educators, and anyone interested in deepening their understanding of real analysis and proof techniques.

Kinetica
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The problem is attached. So is the solution by contradiction.
I would love to hear your feedback if my sol. by contradiction is sufficient enough. Thanks a lot.
 

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so what are you trying to prove?

also i find you'll generally get a quicker response if you type or use tex, that way people can cut and paste and its easy to read...
 

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