Proof: Do Line At Unchanged 36
Let's prove the following theorem:
if the following are true:
- expression state at time 36 = "begin_expr"
- the line at time 36 = 2
then the line at time 37 = 2
Proof:
Given
1 | expression state at time 36 = "begin_expr" |
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2 | the line at time 36 = 2 |
# | Claim | Reason |
---|---|---|
1 | the line at time (36 + 1) = the line at time 36 | if expression state at time 36 = "begin_expr", then the line at time (36 + 1) = the line at time 36 |
2 | the line at time (36 + 1) = 2 | if the line at time (36 + 1) = the line at time 36 and the line at time 36 = 2, then the line at time (36 + 1) = 2 |
3 | 36 + 1 = 37 | 36 + 1 = 37 |
4 | the line at time (36 + 1) = the line at time 37 | if 36 + 1 = 37, then the line at time (36 + 1) = the line at time 37 |
5 | the line at time 37 = 2 | if the line at time (36 + 1) = the line at time 37 and the line at time (36 + 1) = 2, then the line at time 37 = 2 |
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