Proof: Substitute 9

Let's prove the following theorem:

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

then d + b = c

Proof:

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