i've mostly seen it in high level dessage (some one out there can correct that) 
they have a standard shanked curb bit and a rather narrow snaffle bit so two 
sets of reins controling two entirely different bits-it is very much a finess 
thing-  i have also seen trianers going from snaffle to a bosal ride with two 
sets of reins (or visa versa-depending on how you use your bosal)  think 
pelham-but a separate bit for the upper reins.  Did that help or hender?

Maggie

Attaching picture and this is the explination of it  The two bits used on a 
double bridle: the curb and the bradoon.  or go here  
http://en.wikipedia.org/wiki/Double_bridle   for full info

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