Over medium heat cook the bacon lardons until crisp and the fat is rendered. Pour out all but 1-2 tablespoons of the bacon fat.
Add the cabbage strips to the bacon pan and cook over medium-high heat for about 5 minutes. Add 1 cup of the chicken stock and the 1/4 cup of vinegar to the pan. Let the cabbage cook in the liquid until tender, adding more chicken stock as needed.
When the cabbage is tender, remove from the heat and stir in the coarse mustard.