The most difficult thing for me to follow was the books use of a lemma in a proof. The proof was to veryify for integers that if 5x-7 were odd, then 9x+2 was even. The lemma used was that if 5x-7 is odd then x is even. I failed to understand were they pulled x being even from, and how it was known that this would assist in the proof. Aside from that I found proofs by contrapositive to be interesting. They made sense and appear to be useful in many cases.
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