Thanks a lot for this manual, I managed to replace the battery.
My remarks:
I nearly dropped out already at step 4. The sucktion cup that came with my ProTechToolkit did not stick properly, but the one that came with the battery replacement kit did.
My second favorite step was the one where you have to re-attach the two cables (fingerprint and keys). Took me half an hour :-o
Most favorite was attaching the sticky tapes. Finding correct positions was easy, but removing the colored trips from the sticky stripes without removing the stripes from the case was... hmmm...
After finishing I noticed that there were replacement sticky parts for the battery. I had used the old ones.