Proof: Do Line At Unchanged 26
Let's prove the following theorem:
if the following are true:
- expression state at time 26 = "begin_expr"
- the line at time 26 = 4
then the line at time 27 = 4
Proof:
Given
1 | expression state at time 26 = "begin_expr" |
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2 | the line at time 26 = 4 |
# | Claim | Reason |
---|---|---|
1 | the line at time (26 + 1) = the line at time 26 | if expression state at time 26 = "begin_expr", then the line at time (26 + 1) = the line at time 26 |
2 | the line at time (26 + 1) = 4 | if the line at time (26 + 1) = the line at time 26 and the line at time 26 = 4, then the line at time (26 + 1) = 4 |
3 | 26 + 1 = 27 | 26 + 1 = 27 |
4 | the line at time (26 + 1) = the line at time 27 | if 26 + 1 = 27, then the line at time (26 + 1) = the line at time 27 |
5 | the line at time 27 = 4 | if the line at time (26 + 1) = the line at time 27 and the line at time (26 + 1) = 4, then the line at time 27 = 4 |
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