Proof: Do Variables At Unchanged 46

Let's prove the following theorem:

if the following are true:
  • expression state at time 46 = "return"
  • Variables Map at time 46 = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ]

then Variables Map at time 47 = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ]

Proof:

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Given
1 expression state at time 46 = "return"
2 Variables Map at time 46 = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ]
Proof Table
# Claim Reason
1 Variables Map at time (46 + 1) = Variables Map at time 46 if expression state at time 46 = "return", then Variables Map at time (46 + 1) = Variables Map at time 46
2 Variables Map at time (46 + 1) = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ] if Variables Map at time (46 + 1) = Variables Map at time 46 and Variables Map at time 46 = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ], then Variables Map at time (46 + 1) = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ]
3 46 + 1 = 47 46 + 1 = 47
4 Variables Map at time (46 + 1) = Variables Map at time 47 if 46 + 1 = 47, then Variables Map at time (46 + 1) = Variables Map at time 47
5 Variables Map at time 47 = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ] if Variables Map at time (46 + 1) = Variables Map at time 47 and Variables Map at time (46 + 1) = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ], then Variables Map at time 47 = [ entry self: (Python reference 0), [ entry first_name: "John", [ entry last_name: "Smith", [ entry age: 25, [ ] ] ] ] ]

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