input: Write a function to edit and fix any potential bugs in the provided Python code. The function should accurately implement the summation of all elements in a given list. If the input list is empty, the function should return 0.
  
  def sum_list(list):
      sum_list = 0
      for num in list:
          sum_list += num
      return sum_list
  
  assert sum_list([1, 2, 3, 4]) == 10
  assert sum_list([-1, 0, 1]) == 0
  assert sum_list([]) == 0
  assert sum_list([10]) == 10
  assert sum_list([-5, 5]) == 0
output: def sum_list(input_list):
      total_sum = 0
      for num in input_list:
          total_sum += num
      return total_sum