Proof: Add Number to Both Sides
Let's prove the following theorem:
if a + 90 = 180, then a = 90
Proof:
Given
| 1 | a + 90 = 180 |
|---|
| # | Claim | Reason |
|---|---|---|
| 1 | 180 = a + 90 | if a + 90 = 180, then 180 = a + 90 |
| 2 | 180 + (90 ⋅ (-1)) = a | if 180 = a + 90, then 180 + (90 ⋅ (-1)) = a |
| 3 | a = 180 + (90 ⋅ (-1)) | if 180 + (90 ⋅ (-1)) = a, then a = 180 + (90 ⋅ (-1)) |
| 4 | a = 90 | if a = 180 + (90 ⋅ (-1)), then a = 90 |
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