Cut broccoli into small florets. Peel, wash and slice the carrots diagonally. Clean, clean and halve the mushrooms. Heat oil in a pan. Fry the mushrooms for 4-5 minutes until golden brown.
Take out the mushrooms. Put eggs in boiling water and boil for 8-9 minutes. Take them out and quench them briefly under cold water. Boil up about 1.5 litres of salted water. Cook broccoli and carrots for about 4 minutes until al dente.
Meanwhile, wash the chervil, shake dry and put 4 stems aside. Chop the upper third of the remaining chervil into small pieces. Drain the vegetables, collect the stock and measure 400 ml. Rinse the vegetables briefly under cold water.
Melt the fat in a small pot. Add flour and sweat briefly. Add milk and stock. Bring to the boil while stirring and simmer for 3-4 minutes. Add chopped chervil and season to taste with salt, pepper and nutmeg.
Peel the eggs and halve 2 eggs. Mix whole eggs, broccoli, carrots and mushrooms and serve. Place halved eggs in the middle and garnish with chervil.