Galaxy Mirror Sage

Regarding the effect "Gain 500 LP for each 'Galaxy' monster in your Graveyard":

This is a Trigger Effect that activates in the Monster Zone.

This effect activates automatically when the card is flipped face-up.

This effect also activates if the card is flipped face-up during the Damage Step.

Regarding the effect: "When this flipped card is destroyed and sent to the Graveyard: You can choose 1 Level 4 or lower 'Galaxy' monster from your Deck or Graveyard and Special Summon it in face-down Defense Position. If a monster Special Summoned by this effect leaves the field, banish it."

This is a Trigger Effect that can be activated in the Graveyard.

This effect does not target.

This effect can only be activated immediately after this card is destroyed. If this card is destroyed by an effect activated as Chain Link 2 or higher, or if other processing occurs after this card is destroyed, this effect cannot be activated.

This effect can be activated if the condition is met during the Damage Step.

This effect can also be activated if this card is sent to the Graveyard during a turn after it was flipped.

When Special Summoning the appropriate monster from the Deck in face-down Defense Position with this effect, you must reveal that monster to your opponent before Special Summoning it.