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 |
Comments
Please log in to add comments