Proof: Rearrange Sum Equal 3

Let's prove the following theorem:

(a + b) + c = (c + a) + b

Proof:

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Proof Table
# Claim Reason
1 (a + b) + c = c + (a + b) (a + b) + c = c + (a + b)
2 c + (a + b) = (c + a) + b c + (a + b) = (c + a) + b
3 (a + b) + c = (c + a) + b if (a + b) + c = c + (a + b) and c + (a + b) = (c + a) + b, then (a + b) + c = (c + a) + b

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