Proof: Do Line At Unchanged 16
Let's prove the following theorem:
if the following are true:
- expression state at time 16 = "iterate_args"
- the line at time 16 = 8
then the line at time 17 = 8
Proof:
Given
1 | expression state at time 16 = "iterate_args" |
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2 | the line at time 16 = 8 |
# | Claim | Reason |
---|---|---|
1 | the line at time (16 + 1) = the line at time 16 | if expression state at time 16 = "iterate_args", then the line at time (16 + 1) = the line at time 16 |
2 | the line at time (16 + 1) = 8 | if the line at time (16 + 1) = the line at time 16 and the line at time 16 = 8, then the line at time (16 + 1) = 8 |
3 | 16 + 1 = 17 | 16 + 1 = 17 |
4 | the line at time (16 + 1) = the line at time 17 | if 16 + 1 = 17, then the line at time (16 + 1) = the line at time 17 |
5 | the line at time 17 = 8 | if the line at time (16 + 1) = the line at time 17 and the line at time (16 + 1) = 8, then the line at time 17 = 8 |
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