Proof: Do Variables At Unchanged 38

Let's prove the following theorem:

if the following are true:

expression state at time 38 = "iterate_args"
Variables Map at time 38 = [ entry joe: (Python reference 0), [ ] ]

then Variables Map at time 39 = [ entry joe: (Python reference 0), [ ] ]

Proof:

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Given

1	expression state at time 38 = "iterate_args"
2	Variables Map at time 38 = [ entry joe: (Python reference 0), [ ] ]

Proof Table

#	Claim	Reason
1	Variables Map at time (38 + 1) = Variables Map at time 38	if expression state at time 38 = "iterate_args", then Variables Map at time (38 + 1) = Variables Map at time 38 (Iterate Insn (2))
2	Variables Map at time (38 + 1) = [ entry joe: (Python reference 0), [ ] ]	if Variables Map at time (38 + 1) = Variables Map at time 38 and Variables Map at time 38 = [ entry joe: (Python reference 0), [ ] ], then Variables Map at time (38 + 1) = [ entry joe: (Python reference 0), [ ] ] (Transitive Property of Equality)
3	38 + 1 = 39	38 + 1 = 39 (Fixed Value Statement)
4	Variables Map at time (38 + 1) = Variables Map at time 39	if 38 + 1 = 39, then Variables Map at time (38 + 1) = Variables Map at time 39 (Substitution)
5	Variables Map at time 39 = [ entry joe: (Python reference 0), [ ] ]	if Variables Map at time (38 + 1) = Variables Map at time 39 and Variables Map at time (38 + 1) = [ entry joe: (Python reference 0), [ ] ], then Variables Map at time 39 = [ entry joe: (Python reference 0), [ ] ] (Transitive Property of Equality Variation 2)

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