Proof: Do Expr At Unchanged 40
Let's prove the following theorem:
if the following are true:
- expression state at time 40 = "call_build_args"
- the expression at time 40 =
joe.move()
then the expression at time 41 = joe.move()
Proof:
Given
1 | expression state at time 40 = "call_build_args" |
---|---|
2 | the expression at time 40 = joe.move() |
# | Claim | Reason |
---|---|---|
1 | the expression at time (40 + 1) = the expression at time 40 | if expression state at time 40 = "call_build_args", then the expression at time (40 + 1) = the expression at time 40 |
2 | the expression at time (40 + 1) = joe.move() |
if the expression at time (40 + 1) = the expression at time 40 and the expression at time 40 = joe.move() , then the expression at time (40 + 1) = joe.move() |
3 | 40 + 1 = 41 | 40 + 1 = 41 |
4 | the expression at time (40 + 1) = the expression at time 41 | if 40 + 1 = 41, then the expression at time (40 + 1) = the expression at time 41 |
5 | the expression at time 41 = joe.move() |
if the expression at time (40 + 1) = the expression at time 41 and the expression at time (40 + 1) = joe.move() , then the expression at time 41 = joe.move() |
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