Proof: Write Skip Line Line 9
Let's prove the following theorem:
if the following are true:
- the line at time 9 = 9
- the tab at time 9 = 1
- statement at line 9, tab 2 =
self.y = 5
then the line at time 10 = 10
Proof:
Given
1 | the line at time 9 = 9 |
---|---|
2 | the tab at time 9 = 1 |
3 | statement at line 9, tab 2 = self.y = 5 |
# | Claim | Reason |
---|---|---|
1 | 2 > 1 | 2 > 1 |
2 | the line at time (9 + 1) = 9 + 1 | if the line at time 9 = 9 and the tab at time 9 = 1 and statement at line 9, tab 2 = self.y = 5 and 2 > 1, then the line at time (9 + 1) = 9 + 1 |
3 | 9 + 1 = 10 | 9 + 1 = 10 |
4 | the line at time (9 + 1) = 10 | if the line at time (9 + 1) = 9 + 1 and 9 + 1 = 10, then the line at time (9 + 1) = 10 |
5 | the line at time (9 + 1) = the line at time 10 | if 9 + 1 = 10, then the line at time (9 + 1) = the line at time 10 |
6 | the line at time 10 = 10 | if the line at time (9 + 1) = the line at time 10 and the line at time (9 + 1) = 10, then the line at time 10 = 10 |
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