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Prove by contradiction that there does not exist a largest integer.

Prove by contradiction that there does not exist a largest integer.
Hint: observe that for any integer n there is a greater one, say n+1. So begin the proof

"Suppose for contradiction that there is a largest integer. Let this integer be n...."

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Assumption:
N is the largest integer.

That is, for any ...

Solution Summary

It is proven by contradiction that there does not exist a largest integer.

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