Proof: Example: Divide 180 by 2
Let's prove the following theorem:
if a ⋅ 2 = 180, then a = 90
Proof:
Given
| 1 | a ⋅ 2 = 180 |
|---|
| # | Claim | Reason |
|---|---|---|
| 1 | not (2 = 0) | not (2 = 0) |
| 2 | a = 180 / 2 | if not (2 = 0) and a ⋅ 2 = 180, then a = 180 / 2 |
| 3 | 180 / 2 = 90 | 180 / 2 = 90 |
| 4 | a = 90 | if 180 / 2 = 90 and a = 180 / 2, then a = 90 |
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