At the top of page 140 when the describe the congruence class of a modulo I, I got confused. Their first set up with b-a in I makes sense. I don't understand why they carried on further from there... Why was it important to get to a+i such that i is in I? Why did we even need to develop that i in the first place?
Reflective:
This is basically like the congruence in Z, except that they added the idea of cosets and that instead of using [a] to denote the congruence class of a, they say a+I instead.
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