Proof: Do Variables At Unchanged 13

Let's prove the following theorem:

if the following are true:

expression state at time 13 = "iterate_args"
Variables Map at time 13 = [ ]

then Variables Map at time 14 = [ ]

Proof:

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Given

1	expression state at time 13 = "iterate_args"
2	Variables Map at time 13 = [ ]

Proof Table

#	Claim	Reason
1	Variables Map at time (13 + 1) = Variables Map at time 13	if expression state at time 13 = "iterate_args", then Variables Map at time (13 + 1) = Variables Map at time 13 (Iterate Insn (2))
2	Variables Map at time (13 + 1) = [ ]	if Variables Map at time (13 + 1) = Variables Map at time 13 and Variables Map at time 13 = [ ], then Variables Map at time (13 + 1) = [ ] (Transitive Property of Equality)
3	13 + 1 = 14	13 + 1 = 14 (Fixed Value Statement)
4	Variables Map at time (13 + 1) = Variables Map at time 14	if 13 + 1 = 14, then Variables Map at time (13 + 1) = Variables Map at time 14 (Substitution)
5	Variables Map at time 14 = [ ]	if Variables Map at time (13 + 1) = Variables Map at time 14 and Variables Map at time (13 + 1) = [ ], then Variables Map at time 14 = [ ] (Transitive Property of Equality Variation 2)

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