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Suppose an Archon and 2 Tyranid Warriors are in a combat. The Archon inflicts one wound on the Tyranid Warrior and it is killed due to the Huskblade effect. Then the remaining Tyranid Warrior strikes back, scoring two wounds on the Archon, and the Archon fails his saves.

Who wins the close combat? Does the Archon's kill count as 1 wound, or three?

Three, the Archon wins. If a model is removed as a casualty, it counts as having lost any remaining wounds for purposes of combat resolution.

3, its in the combat resolution section of the BRB.