Garbotoxin - Pokémon Rulings Compendium

Say I have Slaking with "Lazy" as my Active Pokemon and my opponent has Wobbuffet with "Bide Barricade" as their Active Pokemon; also my opponent has Garbodor on the Bench and currently "Garbotoxin" is disabling all other Abilities. If I play Field Blower to discard the Pokemon Tool from Garbodor so "Garbotoxin" is no longer in effect, does my "Lazy" or my opponent's "Bide Barricade" go into effect first?: In this scenario Lazy activates first. If Abilities activate at the same time, Abilities of the player whose turn it is activate first; therefore, Slaking's Ability activates first, since it's the player with Slaking's turn.

Source: TPCi Rules Team (2018-08-02)

What happens if both Slaking with "Lazy" and Garbodor with "Garbotoxin" in play? Do they cancel each other out or what?: It depends on the order in which each Ability gets activated. Both Lazy & Garbotoxin require a condition in order to activate (either being the Active Pokemon or having a Tool attached), so when one of the abilities is active the other one is prevented. But if the ability gets disabled (like if Slaking is no longer the Active Pokemon or if Garbodor loses its attached Tool), then the other ability can activate even if it was previously prevented.

Source: Celestial Storm FAQ (2018-07-20), TPCi Rules Team (2018-08-02)

Weavile's "Rule of Evil" attack does damage to each Pokemon that has an Ability. But if Garbodor's "Garbotoxin" Ability is activated would "Rule of Evil" only damage Garbodor?: That's right, because Garbotoxin says each Pokemon (except those with Garbotoxin) have no Abilities.

Source: TPCi Rules Team (2017-09-14)

Does Garbodor's "Garbotoxin" Ability shut off Imakuni?'s Doduo's "Frenzied Escape" Pokemon Power?: No, Frenzied Escape is a Pokemon Power, not an Ability.

Source: Evolutions FAQ (2016-11-03), TPCi Rules Team (2016-11-03)

If my Lugia EX knocks out an opponent's Garbodor with the "Garbotoxin" Ability and a tool attached, does Lugia EX's "Overflow" Ability turn on in time for it to take two prizes?: Nope, Garbotoxin is still active when Garbodor is KO'd, so Lugia EX does not get to take 1 more prize card for Overflow.

Source: TPCi Rules Team (2013-02-28)

Does "Garbotoxin" prevent "Bright Look" on Ninetales coming from your hand, "Electromagnetic Wall" on Ampharos in play and "Rebirth" on Ho-Oh EX in your discard pile?: Yes, Garbotoxin makes it so that each Pokemon in play, in each player's hand, and in each player's discard pile has no Abilities.

Source: Dragons Exalted FAQ (2012-08-23), TPCi Rules Team (2012-08-23)