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