Proof: A is a Subset of B iff A intersect B Equals A | Set Theory, Subsets

A is a subset of B if and only if A intersect B equal A. We will prove this set theory result in today's video set theory lesson!

The proof is straightforward and follows easily from definitions. Always good to get some practice learning how to use our fundamental set theory definitions to prove subset relations and to prove that sets are equal!

Proof of the analogous result for set union:    • Proof: A is a Subset of B iff A Union...  



I hope you find this video helpful, and be sure to ask any questions down in the comments!

********************************************************************
The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.

Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtu...
Vallow SoundCloud:   / benwatts-3  
********************************************************************

+WRATH OF MATH+

◆ Support Wrath of Math on Patreon:   / wrathofmathlessons  

Follow Wrath of Math on...
● Instagram:   / wrathofmathedu  
● Facebook:   / wrathofmath  
● Twitter:   / wrathofmathedu  

My Music Channel:    / seanemusic