Equivalence class

From AoPSWiki

Given an equivalence relation on a set , the equivalence class of an element is .

For example, the relation "equivalence modulo 6" is an equivalence relation on the integers. The equivalence class of 2 under this relation is the set of all those integers which are equivalent to 2, in other words .

Given an equivalence class , an element is said to be a representative of that equivalence class.

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