Proof: Do Variables At Unchanged 39

Let's prove the following theorem:

if the following are true:

expression state at time 39 = "call_function_begin"
Variables Map at time 39 = [ entry joe: (Python reference 0), [ ] ]

then Variables Map at time 40 = [ entry joe: (Python reference 0), [ ] ]

Proof:

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Given

1	expression state at time 39 = "call_function_begin"
2	Variables Map at time 39 = [ entry joe: (Python reference 0), [ ] ]

Proof Table

#	Claim	Reason
1	Variables Map at time (39 + 1) = Variables Map at time 39	if expression state at time 39 = "call_function_begin", then Variables Map at time (39 + 1) = Variables Map at time 39 (Assign Parent (5))
2	Variables Map at time (39 + 1) = [ entry joe: (Python reference 0), [ ] ]	if Variables Map at time (39 + 1) = Variables Map at time 39 and Variables Map at time 39 = [ entry joe: (Python reference 0), [ ] ], then Variables Map at time (39 + 1) = [ entry joe: (Python reference 0), [ ] ] (Transitive Property of Equality)
3	39 + 1 = 40	39 + 1 = 40 (Fixed Value Statement)
4	Variables Map at time (39 + 1) = Variables Map at time 40	if 39 + 1 = 40, then Variables Map at time (39 + 1) = Variables Map at time 40 (Substitution)
5	Variables Map at time 40 = [ entry joe: (Python reference 0), [ ] ]	if Variables Map at time (39 + 1) = Variables Map at time 40 and Variables Map at time (39 + 1) = [ entry joe: (Python reference 0), [ ] ], then Variables Map at time 40 = [ entry joe: (Python reference 0), [ ] ] (Transitive Property of Equality Variation 2)

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