Rule 120.5 · Damage

Damage dealt to a creature, planeswalker, or battle doesn’t destroy it. Likewise, the source of that damage doesn’t destroy it. Rather, state-based actions may destroy a creature or otherwise put a permanent into its owner’s graveyard, due to the results of the damage dealt to that permanent. See rule 704.

Example: A player casts Lightning Bolt, an instant that says “Lightning Bolt deals 3 damage to any target,” targeting a 2/2 creature. After Lightning Bolt deals 3 damage to that creature, the creature is destroyed as a state-based action. Neither Lightning Bolt nor the damage dealt by Lightning Bolt destroyed that creature.