Proof: Multiply by 0

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	a ⋅ 0 = 0	a ⋅ 0 = 0 (Multiplication by Zero)
2	a ⋅ 0 = 0 ⋅ a	a ⋅ 0 = 0 ⋅ a (Commutative Property of Multiplication)
3	0 ⋅ a = 0	if a ⋅ 0 = 0 ⋅ a and a ⋅ 0 = 0, then 0 ⋅ a = 0 (Transitive Property of Equality Variation 2)

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