About Borel sets and random variables

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$$\xi, \eta - \text{Randomvariables}$$ How to show that $\forall \xi,\eta \quad \{\omega \mid\xi(\omega) = \eta(\omega)\}$-Borel set?

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$\xi -\eta$ is a a random variable so $(\xi-\eta)^{-1} \{0\}$ is measurable.