Proof: Do Variables At Unchanged 29

Let's prove the following theorem:

if the following are true:
  • expression state at time 29 = "return"
  • Variables Map at time 29 = [ entry self: (Python reference 0), [ ] ]

then Variables Map at time 30 = [ entry self: (Python reference 0), [ ] ]

Proof:

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Given
1 expression state at time 29 = "return"
2 Variables Map at time 29 = [ entry self: (Python reference 0), [ ] ]
Proof Table
# Claim Reason
1 Variables Map at time (29 + 1) = Variables Map at time 29 if expression state at time 29 = "return", then Variables Map at time (29 + 1) = Variables Map at time 29
2 Variables Map at time (29 + 1) = [ entry self: (Python reference 0), [ ] ] if Variables Map at time (29 + 1) = Variables Map at time 29 and Variables Map at time 29 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (29 + 1) = [ entry self: (Python reference 0), [ ] ]
3 29 + 1 = 30 29 + 1 = 30
4 Variables Map at time (29 + 1) = Variables Map at time 30 if 29 + 1 = 30, then Variables Map at time (29 + 1) = Variables Map at time 30
5 Variables Map at time 30 = [ entry self: (Python reference 0), [ ] ] if Variables Map at time (29 + 1) = Variables Map at time 30 and Variables Map at time (29 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 30 = [ entry self: (Python reference 0), [ ] ]

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