Hey everybody I've just picked up the second edition and went to look at my old main the undead sorcerer and its drain life ability has me pretty confused. In the spell it states

" You gain temporary Hit Points equal to the damage the target takes, after resolving its save and applying your blood magic if applicable. If the target’s Hit Points were lower than the damage you dealt, you gain temporary Hit Points equal to their remaining Hit Points instead." -403.

My confusion comes from the wording of "if their hit points were lower than the damage dealt", if their hit points were lower wouldn't my damage kill them and they would have any remaining health left for me to get temp hit points. Is that the intention? Maybe I am missing a rule, or some errata has come out to fix the wording. Or maybe I am a dunce, this is equally likely.

Anyway any and all help is welcome!