Proof: Do Class Defs At Unchanged 38
Let's prove the following theorem:
if the following are true:
- expression state at time 38 = "begin_expr"
- Class Map at time 38 = [ ]
then Class Map at time 39 = [ ]
Proof:
Given
1 | expression state at time 38 = "begin_expr" |
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2 | Class Map at time 38 = [ ] |
# | Claim | Reason |
---|---|---|
1 | Class Map at time (38 + 1) = Class Map at time 38 | if expression state at time 38 = "begin_expr", then Class Map at time (38 + 1) = Class Map at time 38 |
2 | Class Map at time (38 + 1) = [ ] | if Class Map at time (38 + 1) = Class Map at time 38 and Class Map at time 38 = [ ], then Class Map at time (38 + 1) = [ ] |
3 | 38 + 1 = 39 | 38 + 1 = 39 |
4 | Class Map at time (38 + 1) = Class Map at time 39 | if 38 + 1 = 39, then Class Map at time (38 + 1) = Class Map at time 39 |
5 | Class Map at time 39 = [ ] | if Class Map at time (38 + 1) = Class Map at time 39 and Class Map at time (38 + 1) = [ ], then Class Map at time 39 = [ ] |
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