I think the toughest part about this section is getting used to the vernacular and notation. For instance modulus was a bit confusing since it was introduced and then thrown around everywhere. Something that I don't quite understand was result 4.12 in the book. I understand how the result was obtained, but if we need to prove one statement or another do we really need to prove both to prove the result by contrapositive? Logically it would seem like we wouldn't need to.
Something that was neat was the use of cases combined with contrapositive. As well that any number can be written as a mod of 2 or 3. This proves useful when we proved a bunch of little properties of products and sums of numbers. All of these properties seem so simple but it's neat to be able to prove them.
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