Proof: Do Expr At Unchanged 56
Let's prove the following theorem:
if the following are true:
- expression state at time 56 = "call_function_begin"
- the expression at time 56 =
p.age_in_months()
then the expression at time 57 = p.age_in_months()
Proof:
Given
1 | expression state at time 56 = "call_function_begin" |
---|---|
2 | the expression at time 56 = p.age_in_months() |
# | Claim | Reason |
---|---|---|
1 | the expression at time (56 + 1) = the expression at time 56 | if expression state at time 56 = "call_function_begin", then the expression at time (56 + 1) = the expression at time 56 |
2 | the expression at time (56 + 1) = p.age_in_months() |
if the expression at time (56 + 1) = the expression at time 56 and the expression at time 56 = p.age_in_months() , then the expression at time (56 + 1) = p.age_in_months() |
3 | 56 + 1 = 57 | 56 + 1 = 57 |
4 | the expression at time (56 + 1) = the expression at time 57 | if 56 + 1 = 57, then the expression at time (56 + 1) = the expression at time 57 |
5 | the expression at time 57 = p.age_in_months() |
if the expression at time (56 + 1) = the expression at time 57 and the expression at time (56 + 1) = p.age_in_months() , then the expression at time 57 = p.age_in_months() |
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