Proof: Do Variables At Unchanged 78
Let's prove the following theorem:
if the following are true:
- expression state at time 78 = "call_function_begin"
- Variables Map at time 78 = [ entry self: (Python reference 0), [ ] ]
then Variables Map at time 79 = [ entry self: (Python reference 0), [ ] ]
Proof:
Given
1 | expression state at time 78 = "call_function_begin" |
---|---|
2 | Variables Map at time 78 = [ entry self: (Python reference 0), [ ] ] |
# | Claim | Reason |
---|---|---|
1 | Variables Map at time (78 + 1) = Variables Map at time 78 | if expression state at time 78 = "call_function_begin", then Variables Map at time (78 + 1) = Variables Map at time 78 |
2 | Variables Map at time (78 + 1) = [ entry self: (Python reference 0), [ ] ] | if Variables Map at time (78 + 1) = Variables Map at time 78 and Variables Map at time 78 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (78 + 1) = [ entry self: (Python reference 0), [ ] ] |
3 | 78 + 1 = 79 | 78 + 1 = 79 |
4 | Variables Map at time (78 + 1) = Variables Map at time 79 | if 78 + 1 = 79, then Variables Map at time (78 + 1) = Variables Map at time 79 |
5 | Variables Map at time 79 = [ entry self: (Python reference 0), [ ] ] | if Variables Map at time (78 + 1) = Variables Map at time 79 and Variables Map at time (78 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 79 = [ entry self: (Python reference 0), [ ] ] |
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