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Venn Diagram

Let A be a set and ~ be a binary relation on A. ~ is called an equivalence relation if and only if for all , all the following holds true:

- Reflexivity: a ~ a

- Symmetry: if a ~ b then b ~ a

- Transitivity: if a ~ b and b ~ c then a ~ c.

 

The other thing is this.

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Taken on September 14, 2009