Proof: Do Variables At Unchanged 68

Let's prove the following theorem:

if the following are true:

expression state at time 68 = "iterate_args"
Variables Map at time 68 = [ entry joe: (Python reference 0), [ ] ]

then Variables Map at time 69 = [ entry joe: (Python reference 0), [ ] ]

Proof:

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Given

1	expression state at time 68 = "iterate_args"
2	Variables Map at time 68 = [ entry joe: (Python reference 0), [ ] ]

Proof Table

#	Claim	Reason
1	Variables Map at time (68 + 1) = Variables Map at time 68	if expression state at time 68 = "iterate_args", then Variables Map at time (68 + 1) = Variables Map at time 68 (Iterate Insn (2))
2	Variables Map at time (68 + 1) = [ entry joe: (Python reference 0), [ ] ]	if Variables Map at time (68 + 1) = Variables Map at time 68 and Variables Map at time 68 = [ entry joe: (Python reference 0), [ ] ], then Variables Map at time (68 + 1) = [ entry joe: (Python reference 0), [ ] ] (Transitive Property of Equality)
3	68 + 1 = 69	68 + 1 = 69 (Fixed Value Statement)
4	Variables Map at time (68 + 1) = Variables Map at time 69	if 68 + 1 = 69, then Variables Map at time (68 + 1) = Variables Map at time 69 (Substitution)
5	Variables Map at time 69 = [ entry joe: (Python reference 0), [ ] ]	if Variables Map at time (68 + 1) = Variables Map at time 69 and Variables Map at time (68 + 1) = [ entry joe: (Python reference 0), [ ] ], then Variables Map at time 69 = [ entry joe: (Python reference 0), [ ] ] (Transitive Property of Equality Variation 2)

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