SHARE
TWEET

Untitled

a guest Sep 23rd, 2016 172 Never
Not a member of Pastebin yet? Sign Up, it unlocks many cool features!
  1. #1
  2. Let x, y be given. We show that x + y = y + x.
  3. Observe 0 = (x + y) + (x + y). Add (y + x) from the left on both sides to get y + x = (y + x) + (x + y) + (x + y)
  4. = (y + (x + x) + y) + (x + y) = (y + y) + (x + y) =  x + y. Q.E.D.
  5. #2
  6. Let x, y be given such that 0 = x + y. Add x from the left on both sides to get x = (x + x) + y = y. Q.E.D.
RAW Paste Data
We use cookies for various purposes including analytics. By continuing to use Pastebin, you agree to our use of cookies as described in the Cookies Policy. OK, I Understand
 
Top