Proof: Get Iterate End Parent 22

Let's prove the following theorem:

if the following are true:

expression state at time 22 = "iterate_args"
arguments stack at time 22 = [ [ ], [ ] ]
parent stack at time 22 = [ self."x" = 0, [ ] ]

then parent stack at time 23 = [ ]

Proof:

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Given

1	expression state at time 22 = "iterate_args"
2	arguments stack at time 22 = [ [ ], [ ] ]
3	parent stack at time 22 = [ self."x" = 0, [ ] ]

Proof Table

#	Claim	Reason
1	parent stack at time (22 + 1) = [ ]	if expression state at time 22 = "iterate_args" and arguments stack at time 22 = [ [ ], [ ] ] and parent stack at time 22 = [ self."x" = 0, [ ] ], then parent stack at time (22 + 1) = [ ] (Iterate Args Empty (3))
2	22 + 1 = 23	22 + 1 = 23 (Fixed Value Statement)
3	parent stack at time (22 + 1) = parent stack at time 23	if 22 + 1 = 23, then parent stack at time (22 + 1) = parent stack at time 23 (Substitution)
4	parent stack at time 23 = [ ]	if parent stack at time (22 + 1) = parent stack at time 23 and parent stack at time (22 + 1) = [ ], then parent stack at time 23 = [ ] (Transitive Property of Equality Variation 2)

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