3000 battery compatible with cfw 2000?

[yuso]

My old psp 2000 battery crapped out on me so today I picked up a replacement battery at Gamestop. When I got home I remembered reading that if you have a psp slim with cfw on it (I have 5.50 prometheus 4 on mine), some batteries won't work properly.

Specifically, in this amazon review by Phil

http://www.amazon.com/Sony-PSP-Batte...3925456&sr=8-1

he says that if you use a psp 3000 battery on a cfw 2000 psp it might screw it up. The one I got says "for PSP-2000/3000" on it. Does anyone know if this type of battery works with a cfw enabled 2000? I searched but couldn't find anything else about this. I haven't opened the battery and tried to use it because I'd hate to mess up my psp.

[acn010]

they are compatible