Pour melted butter, warm milk, salt, spices into boiled potatoes and mash the potatoes into a puree.
In a heated frying pan with vegetable oil, fry the onion with minced meat, sprinkle with flour, add tomato paste and pour in the broth.
Add carrots, corn, peas to the minced meat, mix and simmer in a frying pan under a lid over medium heat for 5-10 minutes. Salt and pepper to taste.
Place the filling in a baking dish, spread the mashed potatoes on top and bake in a preheated oven at 180°C for 20 minutes. Remove the pie from the oven, sprinkle with cheese, return to the oven and continue baking until golden brown.