EDB β€” 251

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E180

[251]Let \(D,C\) be non-empty sets and \(f:Dβ†’ C\) a function. Given \(AβŠ† D\) show that

\[ f^{-1}(f(A)) βŠ‡ A~ ; \]

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

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