Proof: Get Iterate Expr 15

Let's prove the following theorem:

if the following are true:

expression state at time 15 = "iterate_args"
arguments stack at time 15 = [ [ "MX", [ "Mexico", [ ] ] ], [ [ ], [ ] ] ]

then the expression at time 16 = "MX"

Proof:

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Given

1	expression state at time 15 = "iterate_args"
2	arguments stack at time 15 = [ [ "MX", [ "Mexico", [ ] ] ], [ [ ], [ ] ] ]

Proof Table

#	Claim	Reason
1	the expression at time (15 + 1) = "MX"	if expression state at time 15 = "iterate_args" and arguments stack at time 15 = [ [ "MX", [ "Mexico", [ ] ] ], [ [ ], [ ] ] ], then the expression at time (15 + 1) = "MX" (Iterate Arguments Expression Property)
2	15 + 1 = 16	15 + 1 = 16 (Fixed Value Statement)
3	the expression at time (15 + 1) = the expression at time 16	if 15 + 1 = 16, then the expression at time (15 + 1) = the expression at time 16 (Substitution)
4	the expression at time 16 = "MX"	if the expression at time (15 + 1) = the expression at time 16 and the expression at time (15 + 1) = "MX", then the expression at time 16 = "MX" (Transitive Property of Equality Variation 2)

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