Well done, sirrah!
I've played in situations like that before, and DPs always feel invincible until that last wound shows itself. (My other army is CSM). And I've managed to have Typhus kill himself before as well.
Trick is not to use Daemon Weapons once they're down that low.
But anyway, you won CC vs a Daemon Prince and that's something to be proud of. Just be happy it wasn't a Tzeentch prince with Black Mace.
I dedicate these deaths to Odin Allfather, Spearshaker, One Eye.
Fleet Shadowmaker - Kabal of the Dying Sun; Cult of Marrow Excised; Coven of Lambent Hunger
Sons of the Last Breath - Chaos Space Marines
Host of Shattered Purity - Chaos Daemons