Conditional Statements are not Executing?

I have written a Program that adds and multiples first ten Natural Numbers on user input. I have made two separate functions for Addition and Multiplication and called both functions in a while loop using if-else statement in it. But it is taking input from user but not performing any further operations. Code is Below:

print("Please select one of the Following Functions:")
print("1. Add First Ten Numbers")
print("2. Multiply first ten Numbers")
user=input()

plus=0
mul=1

for a2 in range(11):
    if a2>0:
        plus=plus + a2
        mul=mul * a2


def add():
    print("Sum of First Ten Numbers is",plus)

def product():
    print("Product of First Ten Numbers is",mul)

while True:
    if user == 1 and user !=2:
        add()
    elif user == 2:
        product()

Output: