I have completed a proof that I am pretty sure is correct. The problem is that i

Question

I have completed a proof that I am pretty sure is correct. The problem is that it is messy. I feel like I don't need to include everything (especially the bold part). Through the help of a tutor, I constructed this proof. It is my understand that the bold part is needed to show that you can construct intervals (I just don't know if I went too far). If someone can look over the proof and explain whether I need everything or explain why I can cut things out, I would appreciate it. I know that it is long, but it took me a long time to type out and I would appreciate any help. I will also rate.

Question:

Assume that the nested interval property is true and use it to prove the Completeness Property of R.

Answer:

If you are having trouble reading the document, here is a link to google docs that has it more readable format: Cut and paste the following:

https://docs.google.com/viewer?a=v&pid=explorer&chrome=true&srcid=0Bzv75pPo3CKFYzU5YzdkOWEtNGYzMy00ZWFiLWEwY2MtYmJhZDExMjg5YjMz&hl=en

Explanation / Answer

Read through it. Honestly since you have it all written I would leave it. Things you "could" take out are the midpoint formula, "It is important to note that the construction of In+1 interval... ...used to construct the interval I2." But honestly I think it is really well written. Very easy to follow. Nice Proof. Only comment would be in the formateing to have the forumlas not in the text but centered on their own lines and maybe use MSWord and create figure labels.

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