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      1 # Exhaustive Proof
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      3 U 1.8.2
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      5 **Definition:** An exhaustive proof is similar to proof by cases except we evaluate it for all specific examples which needs to be a relatively small number.
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      7 An exhaustive proof that "a < a+1 for 1 < a < 5 where a $\in \Z$" would show the statement is true for 2, 3, and 4.