Proof: Get Iterate Parent 44

Let's prove the following theorem:

if the following are true:

expression state at time 44 = "iterate_args"
arguments stack at time 44 = [ [ age, [ ] ], [ ] ]
parent stack at time 44 = [ self."age" = age, [ ] ]

then parent stack at time 45 = [ self."age" = age, [ ] ]

Proof:

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Given

1	expression state at time 44 = "iterate_args"
2	arguments stack at time 44 = [ [ age, [ ] ], [ ] ]
3	parent stack at time 44 = [ self."age" = age, [ ] ]

Proof Table

#	Claim	Reason
1	parent stack at time (44 + 1) = parent stack at time 44	if expression state at time 44 = "iterate_args" and arguments stack at time 44 = [ [ age, [ ] ], [ ] ], then parent stack at time (44 + 1) = parent stack at time 44 (Do Iterage Args (4))
2	parent stack at time (44 + 1) = [ self."age" = age, [ ] ]	if parent stack at time (44 + 1) = parent stack at time 44 and parent stack at time 44 = [ self."age" = age, [ ] ], then parent stack at time (44 + 1) = [ self."age" = age, [ ] ] (Transitive Property of Equality)
3	44 + 1 = 45	44 + 1 = 45 (Fixed Value Statement)
4	parent stack at time (44 + 1) = parent stack at time 45	if 44 + 1 = 45, then parent stack at time (44 + 1) = parent stack at time 45 (Substitution)
5	parent stack at time 45 = [ self."age" = age, [ ] ]	if parent stack at time (44 + 1) = parent stack at time 45 and parent stack at time (44 + 1) = [ self."age" = age, [ ] ], then parent stack at time 45 = [ self."age" = age, [ ] ] (Transitive Property of Equality Variation 2)

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