Proof: Do Variables At Unchanged 76

Let's prove the following theorem:

if the following are true:
  • expression state at time 76 = "return"
  • Variables Map at time 76 = [ entry self: (Python reference 0), [ ] ]

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

Proof:

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Given
1 expression state at time 76 = "return"
2 Variables Map at time 76 = [ entry self: (Python reference 0), [ ] ]
Proof Table
# Claim Reason
1 Variables Map at time (76 + 1) = Variables Map at time 76 if expression state at time 76 = "return", then Variables Map at time (76 + 1) = Variables Map at time 76
2 Variables Map at time (76 + 1) = [ entry self: (Python reference 0), [ ] ] if Variables Map at time (76 + 1) = Variables Map at time 76 and Variables Map at time 76 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (76 + 1) = [ entry self: (Python reference 0), [ ] ]
3 76 + 1 = 77 76 + 1 = 77
4 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
5 Variables Map at time 77 = [ entry self: (Python reference 0), [ ] ] if Variables Map at time (76 + 1) = Variables Map at time 77 and Variables Map at time (76 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 77 = [ entry self: (Python reference 0), [ ] ]

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