Printing a special index alone and including it in the general idex

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How can I print a special index by itself and also include its entries in
the concept index? So that I could have something like:

@node Function Index
@appendix Function Index

@printindex fn @c print just function index

@node Index
@appendix Index

@printindex cp @c print combined index

My exact use case is a little different (I need indexes for particular
sections and also the combined index at the end) but this makes for a
concise example and the solution should be the same.

@synindex allows the combined index as desired, but also appears to empty
the original index so it can't be printed.

I'd rather not have to write each indexing command twice. It seems like
there must be a better way.

Thanks!

Benjamin Kalish

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