Proof: Do Class Defs At Unchanged 29
Let's prove the following theorem:
if the following are true:
- expression state at time 29 = "iterate_args"
- Class Map at time 29 = [ ]
then Class Map at time 30 = [ ]
Proof:
Given
1 | expression state at time 29 = "iterate_args" |
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2 | Class Map at time 29 = [ ] |
# | Claim | Reason |
---|---|---|
1 | Class Map at time (29 + 1) = Class Map at time 29 | if expression state at time 29 = "iterate_args", then Class Map at time (29 + 1) = Class Map at time 29 |
2 | Class Map at time (29 + 1) = [ ] | if Class Map at time (29 + 1) = Class Map at time 29 and Class Map at time 29 = [ ], then Class Map at time (29 + 1) = [ ] |
3 | 29 + 1 = 30 | 29 + 1 = 30 |
4 | Class Map at time (29 + 1) = Class Map at time 30 | if 29 + 1 = 30, then Class Map at time (29 + 1) = Class Map at time 30 |
5 | Class Map at time 30 = [ ] | if Class Map at time (29 + 1) = Class Map at time 30 and Class Map at time (29 + 1) = [ ], then Class Map at time 30 = [ ] |
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