If i got both of them and i train Fitness, do i get both bonuses?

thanks.

Out of the FAQs:

6. What effect has the training hall?

With the training hall, the players train more efficiently. Every player receives 4 bonus training points each training update if you own this facility. For every upgrade each player gets additional 4 bonus training points, so if this facility is fully upgraded, then each player gets 20 bonus training points during each and every training update.

7. What do I get if I build a fitness center?

When the fitness center is built, your players get additional 10% on their fitness training points (this works only when training fitness of course). The first upgrade raises this percentage to 15% and the second to 20%. The upgrades also improve the rehabilitation times for your injured players. The first upgrade gives your player 25% more chance every day to skip 2 days towards the full recovery, instead of just 1. The second upgrade raises that chance to 40%.

But you don't know if this 20% bonus is applying with training hall bonus. If no one knows I will count it next training update