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