Peel, core, and slice the apples.

Sprinkle apple slices with lemon juice.

Cook apples in a covered saucepan with white wine over medium heat.

Simmer until apples are soft, about 10 minutes.

Puree the cooked apples in a food processor or food mill until smooth.

If the sauce is too watery, return to the pan and gently cook on medium-low heat, stirring constantly, until thickened.

Let cool.

Mix apple puree with mayonnaise to taste.

Add grated horseradish to taste, about 1 tablespoon per cup of applesauce.

Serve chilled.