Begin by making the maple mustard dressing. In a large small bowl or jar, whisk together the olive oil, lemon juice, apple cider vinegar, pure maple syrup, mustard, and garlic. Season with salt and pepper and set aside.
Next, shave the brussel spouts. Use a food processor and pulse until sprouts are thinly shredded.
Place the shredded sprouts in large bowl. Add the chopped apple, cranberries, nut, and Parmesan cheese. Drizzle the salad with the dressing and toss well. Season with salt and pepper and serve.