Proof: Substitution 5

Let's prove the following theorem:

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

then d = b + c

Proof:

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

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