Proof: Inequality Greater Than

Let's prove the following theorem:

if b > a, then b + c > a + c

Proof:

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Given
1 b > a
Proof Table
# Claim Reason
1 a < b if b > a, then a < b
2 a + c < b + c if a < b, then a + c < b + c
3 b + c > a + c if a + c < b + c, then b + c > a + c

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