Proof: Zero Numerator Property Example
Let's prove the following theorem:
if the following are true:
- x = 0 / y
- not (y = 0)
then x = 0
Proof:
Given
1 | x = 0 / y |
---|---|
2 | not (y = 0) |
# | Claim | Reason |
---|---|---|
1 | 0 / y = 0 | if not (y = 0), then 0 / y = 0 |
2 | x = 0 | if x = 0 / y and 0 / y = 0, then x = 0 |
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