Using python 3.0 or greater. I need help writing this recursive function.

Question: Write a recursive function (not using loops, global varibles, and conditional operators (+,-,=,<=,==,!=, etc) to for the following definitions.

In other words, make the functions rely on the definitions given and use recursion (can be a bit confusing).

(Three given functions to use in question)

def incr(a):

 '''Returns the next integer after a'''  return a + 1 def zero(a): '''Returns True if a is zero'''  return a == 0 def decr(a): '''Returns the integer before a'''  return a - 1 

(Write the following recursive functions below, by using the functions above.)

I already got the first defnintion for the function add(a,b), but need help writing the recursive for the others.

(Notice how I did not use any +,-,==,=,//,*,etc...becuase they are not allowd in question, only recursion and the functions given.)

def add(a, b):

 '''Returns the sum of a and b'''  # using only incr, decr, zero, and recursion 

 if zero(a) and zero(b): return 0  elif zero(b): return a  else: return add(incr(a), decr(b)) 

  def mult(a, b): '''Returns the product of a and b'''  # using only add, incr, decr, zero, and recursion  return  def gt(a, b): '''Returns True if a is an integer greater than b;  returns False otherwise'''  # using only incr, decr, zero, and recursion  return