Multiplicative Identity 2

Commutative Property Variation 1

Distributive Property 4

Multiplicative Property of Equality Variation 1

Addition Theorem

Transitive Property of Equality Variation 2

Proof: Multiplicative Identity 2

Let's prove the following theorem:

a = a ⋅ 1

Proof:

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Proof Table

#	Claim	Reason
1	a ⋅ 1 = a	a ⋅ 1 = a (Multiplicative Identity)
2	a = a ⋅ 1	if a ⋅ 1 = a, then a = a ⋅ 1 (Symmetric Property of Equality)

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