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(Note that I only just subscribed to the list this morning, so I can't
properly quote or thread this because I don't have the original email
to click reply on. This quote is therefore a copy and paste from

Also, this is a re-send because according to
the first message apparently got encoded in base64. This time I have
the proper "plain text mode" option selected in Gmail, so crossing my
fingers that it works this time.)

Quote from Philipp Janda, Fri, 06 Feb 2015 08:47:05 +0100:
"I'd rather have it documented whether an iteration can be restarted
at a certain point given only the iterator function, the state, and
the current iteration variable. Because that's the other nice feature
of the current iterator protocol. This is possible for e.g. `ipairs`,
but not `string.gmatch` or `io.lines`."

I haven't tested io.lines, but this interactive session in Lua 5.1
works with string.gmatch:

    > str = 't1t2t3t4t5'
    > iter = str:gmatch('t%d')
    > for match in iter do
    >>   print(match)
    >>   if match == 't3' then
    >>     break
    >>   end
    >> end
    > print 'Doing other stuff...'
    Doing other stuff...
    > for match in iter do
    >>   print(match)
    >> end

Notice how the second round resumes where the first left off,
requiring just the iterator function (here, "iter"). Is this what
you're looking for, or am I missing something?