Proof: Get Iterate Expr 44
Let's prove the following theorem:
if the following are true:
- expression state at time 44 = "iterate_args"
- arguments stack at time 44 = [ [ age, [ ] ], [ ] ]
then the expression at time 45 = age
Proof:
Given
1 | expression state at time 44 = "iterate_args" |
---|---|
2 | arguments stack at time 44 = [ [ age, [ ] ], [ ] ] |
# | Claim | Reason |
---|---|---|
1 | the expression at time (44 + 1) = age | if expression state at time 44 = "iterate_args" and arguments stack at time 44 = [ [ age, [ ] ], [ ] ], then the expression at time (44 + 1) = age |
2 | 44 + 1 = 45 | 44 + 1 = 45 |
3 | the expression at time (44 + 1) = the expression at time 45 | if 44 + 1 = 45, then the expression at time (44 + 1) = the expression at time 45 |
4 | the expression at time 45 = age | if the expression at time (44 + 1) = the expression at time 45 and the expression at time (44 + 1) = age, then the expression at time 45 = age |
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