Proof: Do Variables At Unchanged 59
Let's prove the following theorem:
if the following are true:
- expression state at time 59 = "return"
- Variables Map at time 59 = [ entry self: (Python reference 0), [ ] ]
then Variables Map at time 60 = [ entry self: (Python reference 0), [ ] ]
Proof:
Given
1 | expression state at time 59 = "return" |
---|---|
2 | Variables Map at time 59 = [ entry self: (Python reference 0), [ ] ] |
# | Claim | Reason |
---|---|---|
1 | Variables Map at time (59 + 1) = Variables Map at time 59 | if expression state at time 59 = "return", then Variables Map at time (59 + 1) = Variables Map at time 59 |
2 | Variables Map at time (59 + 1) = [ entry self: (Python reference 0), [ ] ] | if Variables Map at time (59 + 1) = Variables Map at time 59 and Variables Map at time 59 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (59 + 1) = [ entry self: (Python reference 0), [ ] ] |
3 | 59 + 1 = 60 | 59 + 1 = 60 |
4 | Variables Map at time (59 + 1) = Variables Map at time 60 | if 59 + 1 = 60, then Variables Map at time (59 + 1) = Variables Map at time 60 |
5 | Variables Map at time 60 = [ entry self: (Python reference 0), [ ] ] | if Variables Map at time (59 + 1) = Variables Map at time 60 and Variables Map at time (59 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 60 = [ entry self: (Python reference 0), [ ] ] |
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