How is coagulation used in the lemon meringue pie?

Coagulation in lemon meringue pie primarily occurs during the preparation of the lemon filling, where the heat causes egg yolks to thicken the mixture as they denature and form a gel-like consistency. This process gives the filling its smooth and creamy texture, allowing it to set properly when cooled. Additionally, coagulation plays a role in the meringue topping, where the whipped egg whites stabilize and hold their shape upon baking, providing a light, airy finish to the pie.