Proof: Do Variables At Unchanged 34

Let's prove the following theorem:

if the following are true:
  • expression state at time 34 = "return"
  • Variables Map at time 34 = [ entry locations: (Python reference 0), [ ] ]

then Variables Map at time 35 = [ entry locations: (Python reference 0), [ ] ]

Proof:

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Given
1 expression state at time 34 = "return"
2 Variables Map at time 34 = [ entry locations: (Python reference 0), [ ] ]
Proof Table
# Claim Reason
1 Variables Map at time (34 + 1) = Variables Map at time 34 if expression state at time 34 = "return", then Variables Map at time (34 + 1) = Variables Map at time 34
2 Variables Map at time (34 + 1) = [ entry locations: (Python reference 0), [ ] ] if Variables Map at time (34 + 1) = Variables Map at time 34 and Variables Map at time 34 = [ entry locations: (Python reference 0), [ ] ], then Variables Map at time (34 + 1) = [ entry locations: (Python reference 0), [ ] ]
3 34 + 1 = 35 34 + 1 = 35
4 Variables Map at time (34 + 1) = Variables Map at time 35 if 34 + 1 = 35, then Variables Map at time (34 + 1) = Variables Map at time 35
5 Variables Map at time 35 = [ entry locations: (Python reference 0), [ ] ] if Variables Map at time (34 + 1) = Variables Map at time 35 and Variables Map at time (34 + 1) = [ entry locations: (Python reference 0), [ ] ], then Variables Map at time 35 = [ entry locations: (Python reference 0), [ ] ]

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