Proof: Do Object Store At Unchanged 44
Let's prove the following theorem:
if the following are true:
- expression state at time 44 = "call_function_begin"
- the expression at time 44 =
__add__(a, 1)
- Python Object Store at time 44 = [ ]
then Python Object Store at time 45 = [ ]
Proof:
Given
1 | expression state at time 44 = "call_function_begin" |
---|---|
2 | the expression at time 44 = __add__(a, 1) |
3 | Python Object Store at time 44 = [ ] |
# | Claim | Reason |
---|---|---|
1 | Python Object Store at time (44 + 1) = Python Object Store at time 44 | if expression state at time 44 = "call_function_begin" and the expression at time 44 = __add__(a, 1) , then Python Object Store at time (44 + 1) = Python Object Store at time 44 |
2 | Python Object Store at time (44 + 1) = [ ] | if Python Object Store at time (44 + 1) = Python Object Store at time 44 and Python Object Store at time 44 = [ ], then Python Object Store at time (44 + 1) = [ ] |
3 | 44 + 1 = 45 | 44 + 1 = 45 |
4 | Python Object Store at time (44 + 1) = Python Object Store at time 45 | if 44 + 1 = 45, then Python Object Store at time (44 + 1) = Python Object Store at time 45 |
5 | Python Object Store at time 45 = [ ] | if Python Object Store at time (44 + 1) = Python Object Store at time 45 and Python Object Store at time (44 + 1) = [ ], then Python Object Store at time 45 = [ ] |
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