## Related questions with answers

Question

Well-Ordering Property: every nonempty set of nonnegative integers has a least element.

Solution

VerifiedStep 1

1 of 2$\textbf{Well-ordering principle for integers}$: Let $S$ be a set of integers with one or more integers that are all greater than some fixed integer. Then there exists a least element in $S$.

Note that this holds when all integers are positive integers or nonnegative integers.

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