What are all the circumstances where abilities that raise a stat when a Pokemon is knocked out don't trigger?

Question

I'm talking about abilities such as Moxie or Grim Neigh. They raise stats when Pokemon are knocked out, but under certain circumstances, they don't raise a stat. What are all the circumstances of this?

Answer 1

When a Pokémon with Moxie [or a similar ability] directly causes another Pokémon (including allies) to faint by using a damaging move, its Attack [or whatever stat the ability raises] is increased by one stage. If its Attack [or whatever stat the ability raises] is already at +6 stages, Moxie [or a similar ability] will not activate.

If a Pokémon with Moxie [or a similar ability] defeats a Pokémon with Mummy using a contact move, the Pokémon's Ability will become Mummy before Moxie [or a similar ability] has the opportunity to activate.

Generation VI onward
If the Pokémon fainting ends the battle, Moxie [or a similar ability] will not activate.

source

Comments

What about if a Pokemon with Mold Breaker, Turboblaze, or Teravolt is on the field?

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Mold breaker and moxie both activate when its own user is using a move. Mold breaker does nothing when another Pokemon (such as a Pokemon with moxie) hits the ability user.

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What if a move doesn't quite finish the opponent but recoil/life orb/leech seed/explosion or other finishes off the opponent?

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Moxie (and similar abilities, except soul-heart) work only if the ability user's attack move directly knocks out another Pokemon.

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Might wanna add that in then.

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FIIIINE.

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Mummy doesn't affect Grim/Chilling Neigh and As One.

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How do you know this?

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@J ™

> Multitype, Zen Mode, Stance Change, Schooling, Battle Bond, Power Construct, Shields Down, RKS System, Disguise, Comatose, and Mummy itself are not affected by Mummy.

https://m.bulbapedia.bulbagarden.net/wiki/Mummy_(Ability)

None of the the abilities you mentioned are on this list. :P

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My bad, Grim/Chilling Neigh aren't.  However, As One is not affected by Mummy.

https://m.bulbapedia.bulbagarden.net/wiki/As_One_(Ability)#:~:text=As%20One%20%28Japanese%3A%20じんばいったい%20Rider%20and%20Mount%20in,either%20its%20Ice%20Rider%20or%20Shadow%20Rider%20Formes.