Multiplicative Property of Equality Variation 1
Substitution 12
Substitution 15

Proof: Substitution 15

Let's prove the following theorem:

if a = b, then a ⋅ a = b ⋅ b

Proof:

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Given
1 a = b
Proof Table
# Claim Reason
1 a ⋅ a = b ⋅ a if a = b, then a ⋅ a = b ⋅ a
2 a ⋅ a = b ⋅ b if a ⋅ a = b ⋅ a and a = b, then a ⋅ a = b ⋅ b
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