Proof: Add Equal Terms

Let's prove the following theorem:

if the following are true:
  • a = x
  • b = y

then x + y = a + b

Proof:

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