Proof: Do Expr At Unchanged 70
Let's prove the following theorem:
if the following are true:
- expression state at time 70 = "call_build_args"
- the expression at time 70 =
joe.jump()
then the expression at time 71 = joe.jump()
Proof:
Given
1 | expression state at time 70 = "call_build_args" |
---|---|
2 | the expression at time 70 = joe.jump() |
# | Claim | Reason |
---|---|---|
1 | the expression at time (70 + 1) = the expression at time 70 | if expression state at time 70 = "call_build_args", then the expression at time (70 + 1) = the expression at time 70 |
2 | the expression at time (70 + 1) = joe.jump() |
if the expression at time (70 + 1) = the expression at time 70 and the expression at time 70 = joe.jump() , then the expression at time (70 + 1) = joe.jump() |
3 | 70 + 1 = 71 | 70 + 1 = 71 |
4 | the expression at time (70 + 1) = the expression at time 71 | if 70 + 1 = 71, then the expression at time (70 + 1) = the expression at time 71 |
5 | the expression at time 71 = joe.jump() |
if the expression at time (70 + 1) = the expression at time 71 and the expression at time (70 + 1) = joe.jump() , then the expression at time 71 = joe.jump() |
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