Proof: Do Variables At Unchanged 44

Let's prove the following theorem:

if the following are true:

expression state at time 44 = "iterate_args"
Variables Map at time 44 = [ entry self: (Python reference 0), [ ] ]

then Variables Map at time 45 = [ entry self: (Python reference 0), [ ] ]

Proof:

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Given

1	expression state at time 44 = "iterate_args"
2	Variables Map at time 44 = [ entry self: (Python reference 0), [ ] ]

Proof Table

#	Claim	Reason
1	Variables Map at time (44 + 1) = Variables Map at time 44	if expression state at time 44 = "iterate_args", then Variables Map at time (44 + 1) = Variables Map at time 44 (Iterate Insn (2))
2	Variables Map at time (44 + 1) = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (44 + 1) = Variables Map at time 44 and Variables Map at time 44 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (44 + 1) = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality)
3	44 + 1 = 45	44 + 1 = 45 (Fixed Value Statement)
4	Variables Map at time (44 + 1) = Variables Map at time 45	if 44 + 1 = 45, then Variables Map at time (44 + 1) = Variables Map at time 45 (Substitution)
5	Variables Map at time 45 = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (44 + 1) = Variables Map at time 45 and Variables Map at time (44 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 45 = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality Variation 2)

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