SHOW doesn't display list...

shopping_list = []


def show_help():
  print("\nSeperate each item with a comma.")
  print("Type DONE to quit, SHOW to see the current list, and HELP to get this message.")


  def show_list():
    count = 1
    for item in shopping_list:
      print("{}: {}".format(count, item))
      count +=1

print("Give me a list of things you want to shop for.")
show_help()

while True:
  new_stuff = input("> ")

  if new_stuff == "DONE":
    print("\nHere's your list:")
    show_list()
    break
  elif new_stuff == "HELP":
    show_help()
    continue
  elif new_stuff == "SHOW":
    show_list()
    continue
  else:
    new_list = new_stuff.split(",")
    index = input("Add this at a certain spot? Press enter for the end of the list, "
    "Or give me a number.  Currently {} items in the list.".format(len(shopping_list)))
    if index:
      spot = int(index) - 1
      for item in new_list:
        shopping_list.insert(spot, item.strip())
        spot += 1
    else:
      for item in new_list:
        shopping_list.append(item.strip())