Proof: Do Tab At Unchanged 1
Let's prove the following theorem:
if the following are true:
- expression state at time 1 = "begin_expr"
- the tab at time 1 = 0
then the tab at time 2 = 0
Proof:
Given
1 | expression state at time 1 = "begin_expr" |
---|---|
2 | the tab at time 1 = 0 |
# | Claim | Reason |
---|---|---|
1 | the tab at time (1 + 1) = the tab at time 1 | if expression state at time 1 = "begin_expr", then the tab at time (1 + 1) = the tab at time 1 |
2 | the tab at time (1 + 1) = 0 | if the tab at time (1 + 1) = the tab at time 1 and the tab at time 1 = 0, then the tab at time (1 + 1) = 0 |
3 | 1 + 1 = 2 | 1 + 1 = 2 |
4 | the tab at time (1 + 1) = the tab at time 2 | if 1 + 1 = 2, then the tab at time (1 + 1) = the tab at time 2 |
5 | the tab at time 2 = 0 | if the tab at time (1 + 1) = the tab at time 2 and the tab at time (1 + 1) = 0, then the tab at time 2 = 0 |
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