Cross staff slur help

[Phil Holmes]

I have a piece of piano music from the opening chorus of The Gondoliers that 
I'm struggling to get my head round.  A scan is attached.  It's a 
cross-staff slur, but my problem is that the music in the left hand is still 
continuing (the crochet F) while the slur is crossing the staves.  I can't 
work out a) how to start setting this in LilyPond or b) what it means in 
performance.

Can anyone help?
--
Phil Holmes

<<attachment: CrossStaffSlur.png>>_______________________________________________
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