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Use the Well-Ordering Principle to prove: “Every integer n > 1 has a prime divis...
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Use the Well-Ordering Principle to prove: “Every integer n > 1 has a prime divisor.”
Suppose you assume the contrary and let S be the set of counterexamples (integers >1 with no prime divisor), and let n be the least element of S.
Which of the following is the crucial next step that leads to a contradiction?
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