- Decreases the Health of that Dahan or Invader so it has now taken lethal Damage (one of many ways Finder's action can destroy the Dahan/Invaders with its own action);
- Directly causes something else to destroy that Dahan or Invader (Finder directly triggering their destruction by moving them).
The first case can happen by causing a Health penalty (e.g., Pushing into a Sacred Site of Rising Heat of Stone and Sand) or removing a Health bonus (e.g., Pushing Dahan out of a land with Infinite Vitality or Gathering a Durable Town into a land with Blight against Habsburg Monarchy Livestock Colony Level 4).
The second case most commonly occurs when teaming up with Ocean's Hungry Grasp to Push Invaders into the Ocean, but can also occur with Powers like Melt Earth Into Quicksand and Call to Guard.