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