You wouldn't believe how much effort goes into proving small things that most people would explain by saying "DUH!" I mean, it's not impossible-difficult or even very difficult most of the time... it's just surprising. When I thought of the sorts of proofs a junior-level math major would do, I thought of crazy things that I've never even heard of
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for now i only like it because it always has an answer.
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so i have a few more math courses to take for that.
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