Proof: Subtract Equation 2
Let's prove the following theorem:
if a + b = c, then b = c - a
Proof:
Given
| 1 | a + b = c |
|---|
| # | Claim | Reason |
|---|---|---|
| 1 | b = c + (a ⋅ (-1)) | if a + b = c, then b = c + (a ⋅ (-1)) |
| 2 | c - a = c + (a ⋅ (-1)) | c - a = c + (a ⋅ (-1)) |
| 3 | b = c - a | if b = c + (a ⋅ (-1)) and c - a = c + (a ⋅ (-1)), then b = c - a |
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