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## Homework Statement

Prove that for any two integers a and b, a+b=b+a. You may use the face that this holds for natural numbers.

## Homework Equations

## The Attempt at a Solution

a=(x,y), b=(u,v)

x,y,u,v are natural numbers

a+b = (x,y)+(u,v) = (u,v)+ (x,y) = b+a

I'm not sure if my attempt was correct.