Proof: Get Iterate Expr 29

Let's prove the following theorem:

if the following are true:

expression state at time 29 = "iterate_args"
arguments stack at time 29 = [ [ locations, [ "ES", [ "Spain", [ ] ] ] ], [ ] ]

then the expression at time 30 = locations

Proof:

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Given

1	expression state at time 29 = "iterate_args"
2	arguments stack at time 29 = [ [ locations, [ "ES", [ "Spain", [ ] ] ] ], [ ] ]

Proof Table

#	Claim	Reason
1	the expression at time (29 + 1) = locations	if expression state at time 29 = "iterate_args" and arguments stack at time 29 = [ [ locations, [ "ES", [ "Spain", [ ] ] ] ], [ ] ], then the expression at time (29 + 1) = locations (Iterate Arguments Expression Property)
2	29 + 1 = 30	29 + 1 = 30 (Fixed Value Statement)
3	the expression at time (29 + 1) = the expression at time 30	if 29 + 1 = 30, then the expression at time (29 + 1) = the expression at time 30 (Substitution)
4	the expression at time 30 = locations	if the expression at time (29 + 1) = the expression at time 30 and the expression at time (29 + 1) = locations, then the expression at time 30 = locations (Transitive Property of Equality Variation 2)

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