Proof: Do Line At Unchanged 29
Let's prove the following theorem:
if the following are true:
- expression state at time 29 = "begin_expr"
- the line at time 29 = 3
then the line at time 30 = 3
Proof:
Given
1 | expression state at time 29 = "begin_expr" |
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2 | the line at time 29 = 3 |
# | Claim | Reason |
---|---|---|
1 | the line at time (29 + 1) = the line at time 29 | if expression state at time 29 = "begin_expr", then the line at time (29 + 1) = the line at time 29 |
2 | the line at time (29 + 1) = 3 | if the line at time (29 + 1) = the line at time 29 and the line at time 29 = 3, then the line at time (29 + 1) = 3 |
3 | 29 + 1 = 30 | 29 + 1 = 30 |
4 | the line at time (29 + 1) = the line at time 30 | if 29 + 1 = 30, then the line at time (29 + 1) = the line at time 30 |
5 | the line at time 30 = 3 | if the line at time (29 + 1) = the line at time 30 and the line at time (29 + 1) = 3, then the line at time 30 = 3 |
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