Proof: Zero Plus a Plus B

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	0 + (a + b) = a + b	0 + (a + b) = a + b (Additive Identity Variation)
2	(0 + a) + b = 0 + (a + b)	(0 + a) + b = 0 + (a + b) (Associative Property of Addition)
3	(0 + a) + b = a + b	if (0 + a) + b = 0 + (a + b) and 0 + (a + b) = a + b, then (0 + a) + b = a + b (Transitive Property of Equality)

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