Proof: Do Variables At Unchanged 73
Let's prove the following theorem:
if the following are true:
- expression state at time 73 = "begin_expr"
- Variables Map at time 73 = [ entry self: (Python reference 0), [ ] ]
then Variables Map at time 74 = [ entry self: (Python reference 0), [ ] ]
Proof:
Given
1 | expression state at time 73 = "begin_expr" |
---|---|
2 | Variables Map at time 73 = [ entry self: (Python reference 0), [ ] ] |
# | Claim | Reason |
---|---|---|
1 | Variables Map at time (73 + 1) = Variables Map at time 73 | if expression state at time 73 = "begin_expr", then Variables Map at time (73 + 1) = Variables Map at time 73 |
2 | Variables Map at time (73 + 1) = [ entry self: (Python reference 0), [ ] ] | if Variables Map at time (73 + 1) = Variables Map at time 73 and Variables Map at time 73 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (73 + 1) = [ entry self: (Python reference 0), [ ] ] |
3 | 73 + 1 = 74 | 73 + 1 = 74 |
4 | Variables Map at time (73 + 1) = Variables Map at time 74 | if 73 + 1 = 74, then Variables Map at time (73 + 1) = Variables Map at time 74 |
5 | Variables Map at time 74 = [ entry self: (Python reference 0), [ ] ] | if Variables Map at time (73 + 1) = Variables Map at time 74 and Variables Map at time (73 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 74 = [ entry self: (Python reference 0), [ ] ] |
Comments
Please log in to add comments