Is there a question?
If you mean that a can be replaced by b anywhere a is used yes.
A Relation, let us call it R, in a set A is said to be an equivalence relation if the following three properties are verified for all element a, b, and c in the set.
1.The relation is reflexive: aRa
2. The relation is symmetric: If aRb, then bRa
3. The relation is transitive: If aRb and bRc then aRc
The simplest example of such an equivalence relation is the equality.
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