The most difficult part of the reading was the proof for 10.17, and how they got for the method they used. It seems they used a proof by cases and defined a subset as an example, but because this example turned out to be bijective we know there exists a bijective function from A to B.
The most interesting part was simply the restriction. If we can't make something one to one, we will simply cut it in half so that it is one to one. Restrictions especially in calculus can seperate things into different integrals making the math a whole lot easier.
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