Axelrod Gunnarson

Trample
Whenever a creature dealt damage by Axelrod Gunnarson this turn dies, you gain 1 life and Axelrod Gunnarson deals 1 damage to target player or planeswalker.

Masters Edition III

Trample
Whenever a creature dealt damage by Axelrod Gunnarson this turn is put into a graveyard, you gain 1 life and Axelrod deals 1 damage to target player.

Chronicles Foreign Black Border

Chronicles

Trample
Whenever a creature is damaged by Axelrod Gunnarson and put into the graveyard, you gain 1 life and Axelrod deals 1 damage to target player.

Legends

Trample
Each time a creature is placed in the graveyard during a turn in which Axelrod damaged it, you gain 1 life and Axelrod does 1 damage to target player.

Each time a creature is put into a graveyard from play, check whether Axelrod Gunnarson had dealt any damage to it at any time during that turn. (This includes combat damage.) If so, Axelrod Gunnarson's second ability will trigger. It doesn't matter who controlled the creature or whose graveyard it was put into.

If Axelrod Gunnarson and a creature it dealt damage to are both put into a graveyard at the same time, Axelrod Gunnarson's second ability will trigger.

The player you target with Axelrod Gunnarson's ability doesn't have to be the player that controlled the creature that was put into a graveyard.