Proof: Do Variables At Unchanged 64

Let's prove the following theorem:

if the following are true:
  • expression state at time 64 = "call_returned"
  • Variables Map at time 64 = [ entry joe: (Python reference 0), [ ] ]

then Variables Map at time 65 = [ entry joe: (Python reference 0), [ ] ]

Proof:

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Given
1 expression state at time 64 = "call_returned"
2 Variables Map at time 64 = [ entry joe: (Python reference 0), [ ] ]
Proof Table
# Claim Reason
1 Variables Map at time (64 + 1) = Variables Map at time 64 if expression state at time 64 = "call_returned", then Variables Map at time (64 + 1) = Variables Map at time 64
2 Variables Map at time (64 + 1) = [ entry joe: (Python reference 0), [ ] ] if Variables Map at time (64 + 1) = Variables Map at time 64 and Variables Map at time 64 = [ entry joe: (Python reference 0), [ ] ], then Variables Map at time (64 + 1) = [ entry joe: (Python reference 0), [ ] ]
3 64 + 1 = 65 64 + 1 = 65
4 Variables Map at time (64 + 1) = Variables Map at time 65 if 64 + 1 = 65, then Variables Map at time (64 + 1) = Variables Map at time 65
5 Variables Map at time 65 = [ entry joe: (Python reference 0), [ ] ] if Variables Map at time (64 + 1) = Variables Map at time 65 and Variables Map at time (64 + 1) = [ entry joe: (Python reference 0), [ ] ], then Variables Map at time 65 = [ entry joe: (Python reference 0), [ ] ]

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