Proof: Do Class Defs At Unchanged 44
Let's prove the following theorem:
if the following are true:
- expression state at time 44 = "call_function_begin"
- Class Map at time 44 = [ ]
then Class Map at time 45 = [ ]
Proof:
Given
1 | expression state at time 44 = "call_function_begin" |
---|---|
2 | Class Map at time 44 = [ ] |
# | Claim | Reason |
---|---|---|
1 | Class Map at time (44 + 1) = Class Map at time 44 | if expression state at time 44 = "call_function_begin", then Class Map at time (44 + 1) = Class Map at time 44 |
2 | Class Map at time (44 + 1) = [ ] | if Class Map at time (44 + 1) = Class Map at time 44 and Class Map at time 44 = [ ], then Class Map at time (44 + 1) = [ ] |
3 | 44 + 1 = 45 | 44 + 1 = 45 |
4 | Class Map at time (44 + 1) = Class Map at time 45 | if 44 + 1 = 45, then Class Map at time (44 + 1) = Class Map at time 45 |
5 | Class Map at time 45 = [ ] | if Class Map at time (44 + 1) = Class Map at time 45 and Class Map at time (44 + 1) = [ ], then Class Map at time 45 = [ ] |
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