PokéBase - Pokémon Q&A
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In turn 63 of this battle and turn 58 of this battle, there were stats that didn't go higher even though they were below +6. Why does that happen?

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It is because in RBY and GSC, Pokemon's stats were maxed at 999. Even if you could still 'boost' the stats up to 6 times, it would roll over to zero again.. It wasn't until RSE that they could go higher than 999.

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I just looked at Bulbapedia, and it turns out this information was there the whole time. I feel stupid now.
lol sorry. happens to me all the time. :)