Proof: Get Iterate End State 21

Let's prove the following theorem:

if the following are true:

expression state at time 21 = "iterate_args"
arguments stack at time 21 = [ [ ], [ [ ], [ ] ] ]
parent stack at time 21 = [ entry "MX": "Mexico", [ {"ES": "Estonia", "MX": "Mexico"}, [ ] ] ]

then expression state at time 22 = "call_function_begin"

Proof:

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Given

1	expression state at time 21 = "iterate_args"
2	arguments stack at time 21 = [ [ ], [ [ ], [ ] ] ]
3	parent stack at time 21 = [ entry "MX": "Mexico", [ `{"ES": "Estonia", "MX": "Mexico"}`, [ ] ] ]

Proof Table

#	Claim	Reason
1	expression state at time (21 + 1) = "call_function_begin"	if expression state at time 21 = "iterate_args" and arguments stack at time 21 = [ [ ], [ [ ], [ ] ] ] and parent stack at time 21 = [ entry "MX": "Mexico", [ `{"ES": "Estonia", "MX": "Mexico"}`, [ ] ] ], then expression state at time (21 + 1) = "call_function_begin" (Iterate Arguments Finished State Rule)
2	21 + 1 = 22	21 + 1 = 22 (Fixed Value Statement)
3	expression state at time (21 + 1) = expression state at time 22	if 21 + 1 = 22, then expression state at time (21 + 1) = expression state at time 22 (Substitution)
4	expression state at time 22 = "call_function_begin"	if expression state at time (21 + 1) = expression state at time 22 and expression state at time (21 + 1) = "call_function_begin", then expression state at time 22 = "call_function_begin" (Transitive Property of Equality Variation 2)

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