Let f : X --> Y be an arbitrary mapping. Define a relation in X as follows:
x_1 ~ x_2 means that f(x_1) = f(x_2).
Show that this is an equivalence relation and describe the equivalence sets.

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Let f : X --> Y be an arbitrary mapping.
Define a relation in X as follows:
x_1 ~ x_2 means that f(x_1) = f(x_2).
Show that this is an equivalence relation and describe the equivalence sets.

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