Proof: Get Iterate Expr 16
Let's prove the following theorem:
if the following are true:
- expression state at time 16 = "iterate_args"
- arguments stack at time 16 = [ [ 25, [ ] ], [ ] ]
then the expression at time 17 = 25
Proof:
Given
1 | expression state at time 16 = "iterate_args" |
---|---|
2 | arguments stack at time 16 = [ [ 25, [ ] ], [ ] ] |
# | Claim | Reason |
---|---|---|
1 | the expression at time (16 + 1) = 25 | if expression state at time 16 = "iterate_args" and arguments stack at time 16 = [ [ 25, [ ] ], [ ] ], then the expression at time (16 + 1) = 25 |
2 | 16 + 1 = 17 | 16 + 1 = 17 |
3 | the expression at time (16 + 1) = the expression at time 17 | if 16 + 1 = 17, then the expression at time (16 + 1) = the expression at time 17 |
4 | the expression at time 17 = 25 | if the expression at time (16 + 1) = the expression at time 17 and the expression at time (16 + 1) = 25, then the expression at time 17 = 25 |
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