Can't be destroyed

Can't be destroyed 破壊されない (Hakai sa renai)
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Details

It is a form of Resistance. A card with this ability are unaffected by other cards and effects that use the Destroy keyword action.

It first appeared on Amnis, Holy Elemental and Giliam, the Tormentor in the first year of promotional cards as "this creature isn't destroyed" whenever they lose a battle against a creature with a specific civilization. However, the exact phrase of 破壊されない didn't occur until Aqua Cascade.

2 Aqua Cascade
/ Creature 6000
(Whenever an opponent's creature attacks, you may tap this creature to stop the attack. Then the 2 creatures battle.) ■ This creature can't attack. ■ When this creature battles, your opponent's creatures aren't destroyed.

7 Immortal Boost, Crimson Lord
/ Psychic Creature 6000
■ Double breaker ■ This creature can't be destroyed. ■ When this creature loses a battle, return it to your hyperspatial zone.

They can be targeted by abilities that say Destroy such as Terror Pit, but they remain in the battle zone. However, there are some conditional ones such as Aqua Cascade (where your opponents creatures aren't destroyed).

This ability isn't a Substitution Effect to replace destruction, but is a Continuous Effect to ignore it.

List of cards

Card:	Effect:
Amnis, Holy Elemental	■ When this creature loses a battle against a darkness creature, this creature isn't destroyed.
Colorful Bell, Great Sound	■ When you put this creature into the battle zone, until the start of your next turn, your creatures can't be destroyed.
Costello, Explosive G	■ This creature can't be destroyed while battling.
Demonkazura, Evil Revolutionary Grudge Weed	■ If you have 5 or more creatures in your graveyard, this creature can't be destroyed while battling.
Dracken Assault, Bursting Revolution	■ While battling, this creature can't be destroyed.
Drag Dragoon	■ If you have a fire creature in the battle zone, this creature gets the "Demon Dragon" race and can't be destroyed while battling.
Explosive Dash! Masashi, Crimson Sabre	■ This creature can't be destroyed.
Flaming Meracchi	■ While battling, this creature can't be destroyed.
Gigaheart, Invincible King Sword	■ A creature equipped with this gets "speed attacker" and can't be destroyed while attacking.
Giliam, the Tormentor	■ Whenever this creature loses a battle against a light creature, this creature isn't destroyed.
Good Muscle Bouncer	■ During your turn, your Beat Jockeys can't be destroyed, you can't lose the game and your opponent can't win the game.
Immortal Boost, Crimson Lord	■ This creature can't be destroyed.
Let's Go Leader! Dogiragon	■ While battling, this creature can't be destroyed.
Mach 55, Supersonic	■ While your opponent has 2 shields or less, this creature can't be destroyed.
Metal Raratta	■ Gogogo Gangan Galaxy: if you have 1 or less cards in your hand, this creature can't be destroyed while battling.
Ov Sidia Calibur	■ When you put this creature into the battle zone, until the start of your next turn, this creature can't be destroyed.
Perfect Offense	■ This turn, whenever any of your dragons attack, they get +10000 power and can't be destroyed while battling.
Red Gearstar	■ Kizuna Plus (Whenever this creature attacks, you may put a card under it into your graveyard. If you do, use this creature's and one of your other creature's ability.) Until the start of your next turn, this creature can't be destroyed.
Savark ~Judgment for Justice~	■ If you have a face up card in your shields, this creature can't be destroyed.
Shinpanman	■ If this creature is tapped, your other Jokers can't be destroyed while battling.
Soten, Messenger of Transcendence	■ Kizuna Plus (Whenever this creature attacks, you may put a card under it into your graveyard. If you do, use this creature's and one of your other creature's ability.) Choose one of your creatures. That creature can't be destroyed until the start of your next turn.
Valhalla Duke, Heaven Hero	■ Mana Arms 7: When you put this creature into the battle zone, if you have 7 or more light cards in your mana zone, your creatures can't be destroyed until the start of your next turn.