Proof: Do Line At Unchanged 14
Let's prove the following theorem:
if the following are true:
- expression state at time 14 = "begin_expr"
- the line at time 14 = 8
then the line at time 15 = 8
Proof:
Given
1 | expression state at time 14 = "begin_expr" |
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2 | the line at time 14 = 8 |
# | Claim | Reason |
---|---|---|
1 | the line at time (14 + 1) = the line at time 14 | if expression state at time 14 = "begin_expr", then the line at time (14 + 1) = the line at time 14 |
2 | the line at time (14 + 1) = 8 | if the line at time (14 + 1) = the line at time 14 and the line at time 14 = 8, then the line at time (14 + 1) = 8 |
3 | 14 + 1 = 15 | 14 + 1 = 15 |
4 | the line at time (14 + 1) = the line at time 15 | if 14 + 1 = 15, then the line at time (14 + 1) = the line at time 15 |
5 | the line at time 15 = 8 | if the line at time (14 + 1) = the line at time 15 and the line at time (14 + 1) = 8, then the line at time 15 = 8 |
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