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