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 |
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# | Claim | Reason |
---|---|---|
1 | not (2 = 0) | not (2 = 0) |
2 | a = 180 / 2 | if a ⋅ 2 = 180 and not (2 = 0), then a = 180 / 2 |
3 | 180 / 2 = 90 | 180 / 2 = 90 |
4 | a = 90 | if a = 180 / 2 and 180 / 2 = 90, then a = 90 |
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