Proof: Do Variables At Unchanged 72
Let's prove the following theorem:
if the following are true:
- expression state at time 72 = "iterate_args"
- Variables Map at time 72 = [ entry self: (Python reference 0), [ ] ]
then Variables Map at time 73 = [ entry self: (Python reference 0), [ ] ]
Proof:
Given
1 | expression state at time 72 = "iterate_args" |
---|---|
2 | Variables Map at time 72 = [ entry self: (Python reference 0), [ ] ] |
# | Claim | Reason |
---|---|---|
1 | Variables Map at time (72 + 1) = Variables Map at time 72 | if expression state at time 72 = "iterate_args", then Variables Map at time (72 + 1) = Variables Map at time 72 |
2 | Variables Map at time (72 + 1) = [ entry self: (Python reference 0), [ ] ] | if Variables Map at time (72 + 1) = Variables Map at time 72 and Variables Map at time 72 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (72 + 1) = [ entry self: (Python reference 0), [ ] ] |
3 | 72 + 1 = 73 | 72 + 1 = 73 |
4 | Variables Map at time (72 + 1) = Variables Map at time 73 | if 72 + 1 = 73, then Variables Map at time (72 + 1) = Variables Map at time 73 |
5 | Variables Map at time 73 = [ entry self: (Python reference 0), [ ] ] | if Variables Map at time (72 + 1) = Variables Map at time 73 and Variables Map at time (72 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 73 = [ entry self: (Python reference 0), [ ] ] |
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