Standing forces card

By clayskinner, in Sid Meier's Civilization: The Board Game

I am a little unclear on one part of these cards. The other night I attacked my buddy's army killing him and taking his last card. At this time I had another figure within attacking distance of his capital. If I was to attack his capital when he has no cards would that be an automatic win as he has no cards to fight back with?

So I just read every other post on this site and think I have it figured out. You still have your bonus for your capital so I would still need to beat that.