We know that in battles, your Pokémon never die, only faint. However, in one rival battle, he asks you if you've ever had a Pokémon die. Up till now, he's fought with a certain Pokémon. He doesn't in this one. Nor ever again.
Deep for a Pokémon game, but nevertheless incredibly supported.
[Note: If you can get an image of that text, you're awesome.]