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The definitions in this section extend what can be done with sets by allowing means of combining elements from the sets.
Definition 20 (Operation)
For any set, \(A\), an operation, \(*\) on \(A\) is a rule which assigns exactly one element of the set \(A\) to a pair of elements from \(A\).
Example 5 (Addition on the integers)
Addition is a rule which takes any two integers and produces a third integer.