Proof: Write Assign End Vars 76

Let's prove the following theorem:

if the following are true:
  • the line at time 76 = 9
  • the tab at time 76 = 0
  • statement at line 9, tab 0 = age = p.age_in_months()
  • expression state at time 76 = "end_expr"
  • Variables Map at time 76 = [ entry p: (Python reference 0), [ ] ]
  • Return Value at time 76 = 300

then Variables Map at time 77 = [ entry p: (Python reference 0), [ entry age: 300, [ ] ] ]

Proof:

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Given
1 the line at time 76 = 9
2 the tab at time 76 = 0
3 statement at line 9, tab 0 = age = p.age_in_months()
4 expression state at time 76 = "end_expr"
5 Variables Map at time 76 = [ entry p: (Python reference 0), [ ] ]
6 Return Value at time 76 = 300
Proof Table
# Claim Reason
1 Variables Map at time (76 + 1) = result of storing (Return Value at time 76) at key: age in map: (Variables Map at time 76) if the line at time 76 = 9 and the tab at time 76 = 0 and statement at line 9, tab 0 = age = p.age_in_months() and expression state at time 76 = "end_expr", then Variables Map at time (76 + 1) = result of storing (Return Value at time 76) at key: age in map: (Variables Map at time 76)
2 result of storing (Return Value at time 76) at key: age in map: (Variables Map at time 76) = result of storing 300 at key: age in map: (Variables Map at time 76) if Return Value at time 76 = 300, then result of storing (Return Value at time 76) at key: age in map: (Variables Map at time 76) = result of storing 300 at key: age in map: (Variables Map at time 76)
3 Variables Map at time (76 + 1) = result of storing 300 at key: age in map: (Variables Map at time 76) if Variables Map at time (76 + 1) = result of storing (Return Value at time 76) at key: age in map: (Variables Map at time 76) and result of storing (Return Value at time 76) at key: age in map: (Variables Map at time 76) = result of storing 300 at key: age in map: (Variables Map at time 76), then Variables Map at time (76 + 1) = result of storing 300 at key: age in map: (Variables Map at time 76)
4 result of storing 300 at key: age in map: (Variables Map at time 76) = result of storing 300 at key: age in map: [ entry p: (Python reference 0), [ ] ] if Variables Map at time 76 = [ entry p: (Python reference 0), [ ] ], then result of storing 300 at key: age in map: (Variables Map at time 76) = result of storing 300 at key: age in map: [ entry p: (Python reference 0), [ ] ]
5 result of storing 300 at key: age in map: [ entry p: (Python reference 0), [ ] ] = [ entry p: (Python reference 0), [ entry age: 300, [ ] ] ] result of storing 300 at key: age in map: [ entry p: (Python reference 0), [ ] ] = [ entry p: (Python reference 0), [ entry age: 300, [ ] ] ]
6 result of storing 300 at key: age in map: (Variables Map at time 76) = [ entry p: (Python reference 0), [ entry age: 300, [ ] ] ] if result of storing 300 at key: age in map: (Variables Map at time 76) = result of storing 300 at key: age in map: [ entry p: (Python reference 0), [ ] ] and result of storing 300 at key: age in map: [ entry p: (Python reference 0), [ ] ] = [ entry p: (Python reference 0), [ entry age: 300, [ ] ] ], then result of storing 300 at key: age in map: (Variables Map at time 76) = [ entry p: (Python reference 0), [ entry age: 300, [ ] ] ]
7 Variables Map at time (76 + 1) = [ entry p: (Python reference 0), [ entry age: 300, [ ] ] ] if Variables Map at time (76 + 1) = result of storing 300 at key: age in map: (Variables Map at time 76) and result of storing 300 at key: age in map: (Variables Map at time 76) = [ entry p: (Python reference 0), [ entry age: 300, [ ] ] ], then Variables Map at time (76 + 1) = [ entry p: (Python reference 0), [ entry age: 300, [ ] ] ]
8 76 + 1 = 77 76 + 1 = 77
9 Variables Map at time (76 + 1) = Variables Map at time 77 if 76 + 1 = 77, then Variables Map at time (76 + 1) = Variables Map at time 77
10 Variables Map at time 77 = [ entry p: (Python reference 0), [ entry age: 300, [ ] ] ] if Variables Map at time (76 + 1) = Variables Map at time 77 and Variables Map at time (76 + 1) = [ entry p: (Python reference 0), [ entry age: 300, [ ] ] ], then Variables Map at time 77 = [ entry p: (Python reference 0), [ entry age: 300, [ ] ] ]

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