Proof: Do Line At Unchanged 43
Let's prove the following theorem:
if the following are true:
- expression state at time 43 = "begin_expr"
- the line at time 43 = 6
then the line at time 44 = 6
Proof:
Given
1 | expression state at time 43 = "begin_expr" |
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2 | the line at time 43 = 6 |
# | Claim | Reason |
---|---|---|
1 | the line at time (43 + 1) = the line at time 43 | if expression state at time 43 = "begin_expr", then the line at time (43 + 1) = the line at time 43 |
2 | the line at time (43 + 1) = 6 | if the line at time (43 + 1) = the line at time 43 and the line at time 43 = 6, then the line at time (43 + 1) = 6 |
3 | 43 + 1 = 44 | 43 + 1 = 44 |
4 | the line at time (43 + 1) = the line at time 44 | if 43 + 1 = 44, then the line at time (43 + 1) = the line at time 44 |
5 | the line at time 44 = 6 | if the line at time (43 + 1) = the line at time 44 and the line at time (43 + 1) = 6, then the line at time 44 = 6 |
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