How To Prove Two Sets are Equal
In this video, we begin with a proof pattern over showing a set is a subset of another. Using this proof pattern, we establish another one, that is, we may show two sets are equal by showing they are subsets of each other.
This is lecture 3 (part 2/3) of the lecture series offered by Dr. Andrew Misseldine for the course Math 3120 - Transition to Advanced Mathematics at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at:
https://drive.google.com/file/d/1JjTf...
This lecture is based upon Sections 1.3, 4.1, 8.2, and 8.3 of Book of Proof (https://www.people.vcu.edu/~rhammack/...) by Richard Hammack, from the corresponding sections of A Transition to Advanced Mathematics (https://math.byu.edu/~doud/Transition/) by Darrin Doud and Pace P. Nielsen, and from Dr. Misseldine's own notes. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.