Proving equalities of sets using the element method

In this video we prove that we can commute unions, that is change the order of a union of two sets. This is just a stand in for a larger class of equalities between sets. To prove this we use the element method. We need to show an element in the left hand side is in the right hand side, AND vice versa.

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[noon]

Real talk your beard looks great, good job bro

[ronniesunshine]

I had to watch this twice, I started tripping from watching you write backwards

[intereststcentury]

Thank You So Much, it was very helpful (The Whole Course)

[iskandariyah]

wait, so did you flip the text when writin, or did you just flip the video?

[tebogorobert]

Help me with the topic of evaluating determinants by row reduction

[Jesus_Paid]

Got a question for ya that I'm struggling with:


Prove the following statement using a formal element argument proof:
For all sets A, B and C, A x (B ∩ C) = (A x B) ∩ (A x C)


Any help would be appreciated.

[rizwanafaqeer]

Proof following satatements p(A) less than or equal to P(B) iff A less than or equal to B