Proof: Do Class Defs At Unchanged 36
Let's prove the following theorem:
if the following are true:
- expression state at time 36 = "begin_expr"
- Class Map at time 36 = [ ]
then Class Map at time 37 = [ ]
Proof:
Given
1 | expression state at time 36 = "begin_expr" |
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2 | Class Map at time 36 = [ ] |
# | Claim | Reason |
---|---|---|
1 | Class Map at time (36 + 1) = Class Map at time 36 | if expression state at time 36 = "begin_expr", then Class Map at time (36 + 1) = Class Map at time 36 |
2 | Class Map at time (36 + 1) = [ ] | if Class Map at time (36 + 1) = Class Map at time 36 and Class Map at time 36 = [ ], then Class Map at time (36 + 1) = [ ] |
3 | 36 + 1 = 37 | 36 + 1 = 37 |
4 | Class Map at time (36 + 1) = Class Map at time 37 | if 36 + 1 = 37, then Class Map at time (36 + 1) = Class Map at time 37 |
5 | Class Map at time 37 = [ ] | if Class Map at time (36 + 1) = Class Map at time 37 and Class Map at time (36 + 1) = [ ], then Class Map at time 37 = [ ] |
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