Proof: Substitute First Term

Let's prove the following theorem:

if the following are true:
  • (a + b) + c = d
  • a = e

then (e + b) + c = d

Proof:

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

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