Proof by cases was something that I have picked up on through contexts in my math classes last year. It was never something that was taught explicitly. It is good to have written patterns confirming what I already figured out. (Indeed, most of this class has been writing out the rules to things that I only ever figured out from context; in the past I could tell you that something works within the context of a proof, but I wouldn't be able to tell you why. This class is changing that!) WLOG was also something that I picked up on through context. So far, the book also seems to address it only through context. I would love to have a more in depth discussion about when it is acceptable to use "without loss of generality" in a proof, as I feel I only have a vague idea of when to use it.
I want to go over the modulus syntax used in this chapter. I think I would have a better understanding if it were explained to me. The modulus is used in a slightly different way than I have ever seen it be used before.
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