Proof: Get Iterate End Expr 60
Let's prove the following theorem:
if the following are true:
- expression state at time 60 = "iterate_args"
- arguments stack at time 60 = [ [ ], [ ] ]
- parent stack at time 60 = [ self."x" =
__add__(self.x, 5)
, [ ] ]
then the expression at time 61 = self."x" = __add__(self.x, 5)
Proof:
Given
1 | expression state at time 60 = "iterate_args" |
---|---|
2 | arguments stack at time 60 = [ [ ], [ ] ] |
3 | parent stack at time 60 = [ self."x" = __add__(self.x, 5) , [ ] ] |
# | Claim | Reason |
---|---|---|
1 | the expression at time (60 + 1) = self."x" = __add__(self.x, 5) |
if expression state at time 60 = "iterate_args" and arguments stack at time 60 = [ [ ], [ ] ] and parent stack at time 60 = [ self."x" = __add__(self.x, 5) , [ ] ], then the expression at time (60 + 1) = self."x" = __add__(self.x, 5) |
2 | 60 + 1 = 61 | 60 + 1 = 61 |
3 | the expression at time (60 + 1) = the expression at time 61 | if 60 + 1 = 61, then the expression at time (60 + 1) = the expression at time 61 |
4 | the expression at time 61 = self."x" = __add__(self.x, 5) |
if the expression at time (60 + 1) = the expression at time 61 and the expression at time (60 + 1) = self."x" = __add__(self.x, 5) , then the expression at time 61 = self."x" = __add__(self.x, 5) |
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