Proof: Write Stmt Class Defs At Unchanged 13
Let's prove the following theorem:
if the following are true:
- the line at time 13 = 2
- the tab at time 13 = 1
- statement at line 2, tab 1 =
z = __add__(x, 3)
- Class Map at time 13 = [ ]
then Class Map at time 14 = [ ]
Proof:
Given
1 | the line at time 13 = 2 |
---|---|
2 | the tab at time 13 = 1 |
3 | statement at line 2, tab 1 = z = __add__(x, 3) |
4 | Class Map at time 13 = [ ] |
# | Claim | Reason |
---|---|---|
1 | Class Map at time (13 + 1) = Class Map at time 13 | if the line at time 13 = 2 and the tab at time 13 = 1 and statement at line 2, tab 1 = z = __add__(x, 3) , then Class Map at time (13 + 1) = Class Map at time 13 |
2 | Class Map at time (13 + 1) = [ ] | if Class Map at time (13 + 1) = Class Map at time 13 and Class Map at time 13 = [ ], then Class Map at time (13 + 1) = [ ] |
3 | 13 + 1 = 14 | 13 + 1 = 14 |
4 | Class Map at time (13 + 1) = Class Map at time 14 | if 13 + 1 = 14, then Class Map at time (13 + 1) = Class Map at time 14 |
5 | Class Map at time 14 = [ ] | if Class Map at time (13 + 1) = Class Map at time 14 and Class Map at time (13 + 1) = [ ], then Class Map at time 14 = [ ] |
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