Proof: Get Iterate State 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 expression state at time 17 = "begin_expr"
Proof:
Given
1 | expression state at time 16 = "iterate_args" |
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2 | arguments stack at time 16 = [ [ 25, [ ] ], [ ] ] |
# | Claim | Reason |
---|---|---|
1 | expression state at time (16 + 1) = "begin_expr" | if expression state at time 16 = "iterate_args" and arguments stack at time 16 = [ [ 25, [ ] ], [ ] ], then expression state at time (16 + 1) = "begin_expr" |
2 | 16 + 1 = 17 | 16 + 1 = 17 |
3 | expression state at time (16 + 1) = expression state at time 17 | if 16 + 1 = 17, then expression state at time (16 + 1) = expression state at time 17 |
4 | expression state at time 17 = "begin_expr" | if expression state at time (16 + 1) = expression state at time 17 and expression state at time (16 + 1) = "begin_expr", then expression state at time 17 = "begin_expr" |
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