Proof: Substitution 5
Let's prove the following theorem:
if the following are true:
- a = b + c
- a = d
then d = b + c
Proof:
Given
| 1 | a = b + c |
|---|---|
| 2 | a = d |
| # | Claim | Reason |
|---|---|---|
| 1 | b + c = a | if a = b + c, then b + c = a |
| 2 | b + c = d | if a = d and b + c = a, then b + c = d |
| 3 | d = b + c | if b + c = d, then d = b + c |
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