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