Substitution 11
Substitution 14
Multiplicative Property of Equality Variation 1
Substitution 12
Substitution in Product
Commutative Property Variation 1
Substitution 2
Substitution 6
Algebra Substitution

Proof: Commutative Property Variation 1

Let's prove the following theorem:

if a = b + c, then a = c + b

Proof:

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