Proof: Substitution 16 Pre

Let's prove the following theorem:

if a + b = c, then (x + a) + b = x + c

Proof:

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

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