input: Write a function to verify if a given Python code snippet includes the implementation of a basic REST API with authentication and specific endpoints for handling items. If the code snippet meets these criteria, return True; otherwise, return False. If the input code snippet is empty, return False.
  assert rest_api_check("""
  from flask import Flask, request
  from flask_restful import Resource, Api
  from flask_jwt import JWT, jwt_required
  
  app = Flask(__name__)
  api = Api(app)
  
  # Setup JWT authentication
  app.secret_key = 'super-secret-key'
  jwt = JWT(app, authenticate, identity)
  
  items = []
  
  class Item(Resource):
   @jwt_required()
   def get(self, name):
   for item in items:
   if item['name'] == name:
   return item
   return {'item': None}, 404
  
   def post(self, name):
   new_item = {'name': name, 'price': 12.00}
   items.append(new_item)
   return new_item, 201
  
  
  class ItemList(Resource):
   def get(self):
   return {'items': items}
  
  
  api.add_resource(Item, '/item/<string:name>')
  api.add_resource(ItemList, '/items')
  
  if __name__ == '__main__':
   app.run(port=5000, debug=True)
  """) == True
  assert rest_api_check("""
  print("This is not a REST API")
  """) == False
  assert rest_api_check("") == False
output: def rest_api_check(code_snippet):
      if not code_snippet:
          return False
      return all([
          "from flask import" in code_snippet,
          "from flask_restful import" in code_snippet,
          "from flask_jwt import" in code_snippet,
          "JWT(" in code_snippet,
          "jwt_required(" in code_snippet,
          "api.add_resource(" in code_snippet,
          "class Item(" in code_snippet,
          "class ItemList(" in code_snippet
      ])