Proof: Write Skip Line Variables At 1
Let's prove the following theorem:
if the following are true:
- the line at time 1 = 2
- the tab at time 1 = 0
- statement at line 2, tab 1 =
z = __add__(x, 3)
- Variables Map at time 1 = [ ]
then Variables Map at time 2 = [ ]
Proof:
Given
1 | the line at time 1 = 2 |
---|---|
2 | the tab at time 1 = 0 |
3 | statement at line 2, tab 1 = z = __add__(x, 3) |
4 | Variables Map at time 1 = [ ] |
# | Claim | Reason |
---|---|---|
1 | 1 > 0 | 1 > 0 |
2 | Variables Map at time (1 + 1) = Variables Map at time 1 | if the line at time 1 = 2 and the tab at time 1 = 0 and statement at line 2, tab 1 = z = __add__(x, 3) and 1 > 0, then Variables Map at time (1 + 1) = Variables Map at time 1 |
3 | Variables Map at time (1 + 1) = [ ] | if Variables Map at time (1 + 1) = Variables Map at time 1 and Variables Map at time 1 = [ ], then Variables Map at time (1 + 1) = [ ] |
4 | 1 + 1 = 2 | 1 + 1 = 2 |
5 | Variables Map at time (1 + 1) = Variables Map at time 2 | if 1 + 1 = 2, then Variables Map at time (1 + 1) = Variables Map at time 2 |
6 | Variables Map at time 2 = [ ] | if Variables Map at time (1 + 1) = Variables Map at time 2 and Variables Map at time (1 + 1) = [ ], then Variables Map at time 2 = [ ] |
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