Proof: Get Begin Expr Params 62
Let's prove the following theorem:
if the following are true:
- expression state at time 62 = "begin_expr"
- the expression at time 62 =
self.age
- arguments stack at time 62 = [ [ 12, [ ] ], [ ] ]
then arguments stack at time 63 = [ [ self, [ ] ], [ [ 12, [ ] ], [ ] ] ]
Proof:
Given
1 | expression state at time 62 = "begin_expr" |
---|---|
2 | the expression at time 62 = self.age |
3 | arguments stack at time 62 = [ [ 12, [ ] ], [ ] ] |
# | Claim | Reason |
---|---|---|
1 | arguments stack at time (62 + 1) = [ [ self, [ ] ], arguments stack at time 62 ] | if expression state at time 62 = "begin_expr" and the expression at time 62 = self.age , then arguments stack at time (62 + 1) = [ [ self, [ ] ], arguments stack at time 62 ] |
2 | [ [ self, [ ] ], arguments stack at time 62 ] = [ [ self, [ ] ], [ [ 12, [ ] ], [ ] ] ] | if arguments stack at time 62 = [ [ 12, [ ] ], [ ] ], then [ [ self, [ ] ], arguments stack at time 62 ] = [ [ self, [ ] ], [ [ 12, [ ] ], [ ] ] ] |
3 | arguments stack at time (62 + 1) = [ [ self, [ ] ], [ [ 12, [ ] ], [ ] ] ] | if arguments stack at time (62 + 1) = [ [ self, [ ] ], arguments stack at time 62 ] and [ [ self, [ ] ], arguments stack at time 62 ] = [ [ self, [ ] ], [ [ 12, [ ] ], [ ] ] ], then arguments stack at time (62 + 1) = [ [ self, [ ] ], [ [ 12, [ ] ], [ ] ] ] |
4 | 62 + 1 = 63 | 62 + 1 = 63 |
5 | arguments stack at time (62 + 1) = arguments stack at time 63 | if 62 + 1 = 63, then arguments stack at time (62 + 1) = arguments stack at time 63 |
6 | arguments stack at time 63 = [ [ self, [ ] ], [ [ 12, [ ] ], [ ] ] ] | if arguments stack at time (62 + 1) = arguments stack at time 63 and arguments stack at time (62 + 1) = [ [ self, [ ] ], [ [ 12, [ ] ], [ ] ] ], then arguments stack at time 63 = [ [ self, [ ] ], [ [ 12, [ ] ], [ ] ] ] |
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