Peel, wash and thinly slice the carrots. Cook in boiling salted water for about 4 minutes. Drain. Drain the corn and thaw the peas a little
Melt the fat in a pot. Sweat flour in it. Deglaze with milk and 1/4 l water while stirring. Stir in stock. Add half of the cheese and let it melt in it. Season to taste with salt, pepper and nutmeg
Pour a thin layer of cheese sauce into a fireproof casserole dish (approx. 21 x 27 cm). Place 6 lasagne plates on top. Spread peas on top, add some sauce and 6 lasagne plates. Layer corn with some sauce and 6 pasta plates, then carrots with some sauce. Finish with the rest of the lasagne and the remaining cheese sauce. Sprinkle the rest of the cheese on top
Bake the vegetable lasagne in a preheated oven (electric cooker: 200 °C / circulating air: 175 °C / gas: level 3) for approx. 45 minutes until golden brown
Drink: cool white wine