Proof: Get Iterate End Parent 31

Let's prove the following theorem:

if the following are true:

expression state at time 31 = "iterate_args"
arguments stack at time 31 = [ [ ], [ ] ]
parent stack at time 31 = [ self."first_name" = first_name, [ ] ]

then parent stack at time 32 = [ ]

Proof:

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Given

1	expression state at time 31 = "iterate_args"
2	arguments stack at time 31 = [ [ ], [ ] ]
3	parent stack at time 31 = [ self."first_name" = first_name, [ ] ]

Proof Table

#	Claim	Reason
1	parent stack at time (31 + 1) = [ ]	if expression state at time 31 = "iterate_args" and arguments stack at time 31 = [ [ ], [ ] ] and parent stack at time 31 = [ self."first_name" = first_name, [ ] ], then parent stack at time (31 + 1) = [ ] (Iterate Args Empty (3))
2	31 + 1 = 32	31 + 1 = 32 (Fixed Value Statement)
3	parent stack at time (31 + 1) = parent stack at time 32	if 31 + 1 = 32, then parent stack at time (31 + 1) = parent stack at time 32 (Substitution)
4	parent stack at time 32 = [ ]	if parent stack at time (31 + 1) = parent stack at time 32 and parent stack at time (31 + 1) = [ ], then parent stack at time 32 = [ ] (Transitive Property of Equality Variation 2)

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