Proof: Substitution 16 Pre
Let's prove the following theorem:
if a + b = c, then (x + a) + b = x + c
Proof:
Given
| 1 | a + b = c |
|---|
| # | Claim | Reason |
|---|---|---|
| 1 | (x + a) + b = x + (a + b) | (x + a) + b = x + (a + b) |
| 2 | (x + a) + b = x + c | if a + b = c and (x + a) + b = x + (a + b), then (x + a) + b = x + c |
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