Equivalence relation.
If R is a relation on a set S then
- R is reflexive if for all x∈ s , xRx
- R is symmetric if for all x and y ∈ S, if xRy then yRx
- R is transitive if for all x, y, and z ∈ S, if xRy and yRz then xRz
A relation satisfying all three properties is called an equivalence relation.
Equivalence relations “act like” the = relation.
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