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"Core Training:
For a more casual way to help your Pokémon grow, use training bags for an easy boost to your Pokémon’s growth with Core Training! You'll earn training bags when you complete Super-Training Regimens."
"Super Training Base Stats:
With Super Training, it’s not your Pokémon’s level that goes up but its base stats, the underlying values that define your Pokémon's skills in battle.
As these base stats increase, your Pokémon can increase its HP, Attack, or other stats beyond those of another Pokémon of the same species at the same level. These base stats could be increased using items and other methods in previous Pokémon titles, but in Pokémon X and Pokémon Y, you'll be able to raise them far more easily than ever before, thanks to Super Training. This will lay the groundwork for more Pokémon Trainers to aim for the very top!"