1. (difficult) Modulo is a difficult concept to grasp, especially when the following are equivalent:
a_= b (mod n) and n|(a-b). It seems like such a strange way to express an equivalent expression. There must be some way that it is more convenient to use the "mod" in it.
2. (reflective) These mod statements mixed with proofs by cases can be very complex things, in fact the most complex we've studied so far. It's difficult to wrap your mind around at first, but it becomes easier after time is spent trying to really understand what the book is saying about the various statements. It's just going to be another tool in our belt to use while proving results.
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