Mix the flour, sugar and salt in medium bowl.
Cut the cold butter into chunks and add it and the shortening to the flour.
Cut it in with a pastry blender or two knives until the mixture resembles small crumbs.
Add the cider vinegar and 3 TBS of ice water.
Stir the mixture with a fork. If it seems dry add another tablespoon of water.
Gather the dough together and place it on a lightly floured surface. Knead it a few times until it comes together.
Form it into a disc, wrap in plastic or wax paper and refrigerate for an hour.
Repeat for top crust.
Preheat oven to 400°
Cut the apples into slices and add to a bowl
Add the brown sugar, lemon juice, cinnamon and flour. Mix well.
Take one disc of dough from the refrigerator and roll it out for a 9" pie pan. trim.
Add apples and dot with butter
Add the apples to the prepared pie pan.
Dot the top of the apples with the 2 TBS of butter.
Take the second disc from the refrigerator and roll it out to cover.
Cover with the top crust. Seal with the edge of your choice.
Cut some slits for steam to escape.
Brush with the egg wash and sprinkle with sugar in the raw if desired
Cover the edge of the pie to prevent over browning for the first half hour of cooking.
Bake at 400° for 15 minutes then lower the temperature to 350° and bake for 45-50 more minutes or until the juices are bubbly and the crust is nicely browned.
Cool on a wire rack.