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Section 3.1: Direct Proof and Counterexample 1
faculty.up.eduSection 3.1: Direct Proof and Counterexample 1 In this chapter, we introduce the notion of proof in mathematics. ... is rational, then x is rational”. Disprove this statement by giving a counter example. ... (ii) Start the proof by supposing that x is a particular, but arbi-trary chosen element of D for which P(x) is true.