Proof: Do Object Store At Unchanged 7
Let's prove the following theorem:
if the following are true:
- expression state at time 7 = "begin_expr"
- Python Object Store at time 7 = [ ]
then Python Object Store at time 8 = [ ]
Proof:
Given
1 | expression state at time 7 = "begin_expr" |
---|---|
2 | Python Object Store at time 7 = [ ] |
# | Claim | Reason |
---|---|---|
1 | Python Object Store at time (7 + 1) = Python Object Store at time 7 | if expression state at time 7 = "begin_expr", then Python Object Store at time (7 + 1) = Python Object Store at time 7 |
2 | Python Object Store at time (7 + 1) = [ ] | if Python Object Store at time (7 + 1) = Python Object Store at time 7 and Python Object Store at time 7 = [ ], then Python Object Store at time (7 + 1) = [ ] |
3 | 7 + 1 = 8 | 7 + 1 = 8 |
4 | Python Object Store at time (7 + 1) = Python Object Store at time 8 | if 7 + 1 = 8, then Python Object Store at time (7 + 1) = Python Object Store at time 8 |
5 | Python Object Store at time 8 = [ ] | if Python Object Store at time (7 + 1) = Python Object Store at time 8 and Python Object Store at time (7 + 1) = [ ], then Python Object Store at time 8 = [ ] |
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