Proof: Do Variables At Unchanged 61
Let's prove the following theorem:
if the following are true:
- expression state at time 61 = "call_function_begin"
- Variables Map at time 61 = [ entry self: (Python reference 0), [ ] ]
then Variables Map at time 62 = [ entry self: (Python reference 0), [ ] ]
Proof:
Given
1 | expression state at time 61 = "call_function_begin" |
---|---|
2 | Variables Map at time 61 = [ entry self: (Python reference 0), [ ] ] |
# | Claim | Reason |
---|---|---|
1 | Variables Map at time (61 + 1) = Variables Map at time 61 | if expression state at time 61 = "call_function_begin", then Variables Map at time (61 + 1) = Variables Map at time 61 |
2 | Variables Map at time (61 + 1) = [ entry self: (Python reference 0), [ ] ] | if Variables Map at time (61 + 1) = Variables Map at time 61 and Variables Map at time 61 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (61 + 1) = [ entry self: (Python reference 0), [ ] ] |
3 | 61 + 1 = 62 | 61 + 1 = 62 |
4 | Variables Map at time (61 + 1) = Variables Map at time 62 | if 61 + 1 = 62, then Variables Map at time (61 + 1) = Variables Map at time 62 |
5 | Variables Map at time 62 = [ entry self: (Python reference 0), [ ] ] | if Variables Map at time (61 + 1) = Variables Map at time 62 and Variables Map at time (61 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 62 = [ entry self: (Python reference 0), [ ] ] |
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