Proof: Do Variables At Unchanged 31

Let's prove the following theorem:

if the following are true:

expression state at time 31 = "call_function_begin"
Variables Map at time 31 = [ entry self: (Python reference 0), [ ] ]

then Variables Map at time 32 = [ entry self: (Python reference 0), [ ] ]

Proof:

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Given

1	expression state at time 31 = "call_function_begin"
2	Variables Map at time 31 = [ entry self: (Python reference 0), [ ] ]

Proof Table

#	Claim	Reason
1	Variables Map at time (31 + 1) = Variables Map at time 31	if expression state at time 31 = "call_function_begin", then Variables Map at time (31 + 1) = Variables Map at time 31 (Assign Parent (5))
2	Variables Map at time (31 + 1) = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (31 + 1) = Variables Map at time 31 and Variables Map at time 31 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (31 + 1) = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality)
3	31 + 1 = 32	31 + 1 = 32 (Fixed Value Statement)
4	Variables Map at time (31 + 1) = Variables Map at time 32	if 31 + 1 = 32, then Variables Map at time (31 + 1) = Variables Map at time 32 (Substitution)
5	Variables Map at time 32 = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (31 + 1) = Variables Map at time 32 and Variables Map at time (31 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 32 = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality Variation 2)

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