Proofs everyday. (Day 1)

Hey guys,

I’ve been thinking about doing small (mostly uninteresting) proofs every day, I’ve been told and I’ve read many times that in order to be good at proofs, you must read and do many proofs, and obviously it always helps to get some feedback\critique.

I also want to file down my laTeX skills, so I thought that id do some small proofs every day.

Anyways, today’s proof comes from Understanding Analysis 2nd Edition, I’ve been working on the book lately and I think it’s wonderfully written.

Any feedback is more than welcome and I appreciate anyone who takes their time to look through my boring proof.

Ps. Also sorry in advance for any typos or misuse of notation, I’m trying to get good at it too.

Author: Koioper