Proof: Do Stack At Unchanged 34
Let's prove the following theorem:
if the following are true:
- expression state at time 34 = "call_returned"
- stack at time 34 = [ ]
then stack at time 35 = [ ]
Proof:
Given
1 | expression state at time 34 = "call_returned" |
---|---|
2 | stack at time 34 = [ ] |
# | Claim | Reason |
---|---|---|
1 | stack at time (34 + 1) = stack at time 34 | if expression state at time 34 = "call_returned", then stack at time (34 + 1) = stack at time 34 |
2 | stack at time (34 + 1) = [ ] | if stack at time (34 + 1) = stack at time 34 and stack at time 34 = [ ], then stack at time (34 + 1) = [ ] |
3 | 34 + 1 = 35 | 34 + 1 = 35 |
4 | stack at time (34 + 1) = stack at time 35 | if 34 + 1 = 35, then stack at time (34 + 1) = stack at time 35 |
5 | stack at time 35 = [ ] | if stack at time (34 + 1) = stack at time 35 and stack at time (34 + 1) = [ ], then stack at time 35 = [ ] |
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