Proof: Get Iterate State 46
Let's prove the following theorem:
if the following are true:
- expression state at time 46 = "iterate_args"
- arguments stack at time 46 = [ [
self.x
, [ 5, [ ] ] ], [ [ ], [ ] ] ]
then expression state at time 47 = "begin_expr"
Proof:
Given
1 | expression state at time 46 = "iterate_args" |
---|---|
2 | arguments stack at time 46 = [ [ self.x , [ 5, [ ] ] ], [ [ ], [ ] ] ] |
# | Claim | Reason |
---|---|---|
1 | expression state at time (46 + 1) = "begin_expr" | if expression state at time 46 = "iterate_args" and arguments stack at time 46 = [ [ self.x , [ 5, [ ] ] ], [ [ ], [ ] ] ], then expression state at time (46 + 1) = "begin_expr" |
2 | 46 + 1 = 47 | 46 + 1 = 47 |
3 | expression state at time (46 + 1) = expression state at time 47 | if 46 + 1 = 47, then expression state at time (46 + 1) = expression state at time 47 |
4 | expression state at time 47 = "begin_expr" | if expression state at time (46 + 1) = expression state at time 47 and expression state at time (46 + 1) = "begin_expr", then expression state at time 47 = "begin_expr" |
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