Cheddar and Veggie Bread Pudding

Ingredients

• ["2 tablespoons vegetable oil", "1 onion, finely chopped", "8 ounces mushrooms, thinly sliced", "2 cups fresh broccoli (or 5 oz of your choice with 5 oz spinach) or 2 cups asparagus (or 5 oz of your choice with 5 oz spinach) or 2 cups green beans (or 5 oz of your choice with 5 oz spinach) or 1 (10 ounce) package frozen broccoli, unthawed (or 5 oz of your choice with 5 oz spinach) or 1 (10 ounce) package asparagus (or 5 oz of your choice with 5 oz spinach) or 1 (10 ounce) package green beans (or 5 oz of your choice with 5 oz spinach)", "14 teaspoon mustard", "12 teaspoon salt", "14 teaspoon pepper", "4 slices white bread, buttered & halved (crusts removed)", "2 cups sharp cheddar cheese, shredded (8 oz)", "3 large eggs", "1 cup 2% low-fat milk", "1 (4 ounce) canchopped green chilies, drained", "4 slices white bread, cut into 1 \" cubes (crusts removed)""