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For a function $f \in PF$, is the $range(f) \in NP$ always? It seems to me that since any function that you can verify in $P$ time is in $NP$, you can always just run the function on the input to verify it in $P$ time.

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    $\begingroup$ Please include the definition of $PF$ and $range$ in your question. $\endgroup$
    – plshelp
    Sep 29 at 5:55

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