Proof on Subsets and Union of Intersections | Set Theory, Set Equality

Описание: Let A, B, C, and D be sets such that C = A U B and D is a subset of C. How do we prove that D = (D intersect A) U (D intersect B)? That's what we'll go over in today's set theory lesson. We need to use the definitions of subset, set equality, and set intersection and union in order to prove our desired subset relations, thus proving the equality! If you're familiar with probability theory, this may strike you as being somewhat similar to the law of total probability.



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

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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  
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