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Channel: My solution seems too long - feedback welcome. Show $f(f^{-1}(S))=S \iff f$ is surjective. - Mathematics Stack Exchange
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Answer by whoisit for My solution seems too long - feedback welcome. Show...

Your solution is correct, and it can be written concisely simply by eliminating obvious statements and spaces. For example,Let $f : X \to Y$ be a function from one set $X$ to another set $Y$ . Show...

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My solution seems too long - feedback welcome. Show $f(f^{-1}(S))=S \iff f$...

Below is my attempt at a standard exercise on basic set theory and functions.There are 3 reasons for my request for feedback on my solution:I am self-teaching and that means I often think I am correct...

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