EDB β€” 250

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Exercises

  1. [250]Let \(D,C\) be non-empty sets and \(f:D\to C\) a function. Given \(U\subseteq C\) show that

    \[ f(f^{-1}(U)) \subseteq U~ ; \]

    if \(f\) is surjective show that they are equal; find an example where they are different.

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