After a few reads, most of this section made sense. However I'm still not accustomed to equivalence classes and they're used extensively in this section. For Result 8.7, the alternate proof for proving that 2a + b is symmetric is still throwing me off. I understand how we want to add the two equations together, but I don't understand how we sub in for 3x and 3y. Hopefully we go over that in class.
I enjoy when we incorporate things learned or used previously and here we talked about how an equivalence class can relate to properties of integers namely being able to classify any integer within 3 equivalence classes for a certain relation. Also the proofs of equivalence relations are neat; they're elegant and smart which is fun.
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