Peel potatoes, cut in half and cook in salted water for about 20 minutes. In the meantime peel, wash and slice the carrots. Heat butter in a large pan. Steam the carrots for about 2 minutes while tossing.
Pour on 2-3 tablespoons of water, bring to the boil and cook for another 4 minutes. Glaze with maple syrup. Season with salt and pepper. Wash meat, dab dry and season with salt and pepper. Heat oil in a pan.
Fry the meat for approx. 4 minutes, turning it over. In the meantime heat up the milk. Clean and wash the lamb's lettuce. Drain potatoes. Add warm milk and some nutmeg and mash. Season mashed potatoes with salt.
Fold in the lamb's lettuce, except for a little to garnish. Arrange steak, glazed vegetables and mashed potatoes and lamb's lettuce on a plate.