Proof: Get Iterate Parent 17

Let's prove the following theorem:

if the following are true:

expression state at time 17 = "iterate_args"
arguments stack at time 17 = [ [ 9, [ ] ], [ ] ]
parent stack at time 17 = [ __eq__(7, 9), [ ] ]

then parent stack at time 18 = [ __eq__(7, 9), [ ] ]

Proof:

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Given

1	expression state at time 17 = "iterate_args"
2	arguments stack at time 17 = [ [ 9, [ ] ], [ ] ]
3	parent stack at time 17 = [ `__eq__(7, 9)`, [ ] ]

Proof Table

#	Claim	Reason
1	parent stack at time (17 + 1) = parent stack at time 17	if expression state at time 17 = "iterate_args" and arguments stack at time 17 = [ [ 9, [ ] ], [ ] ], then parent stack at time (17 + 1) = parent stack at time 17 (Do Iterage Args (4))
2	parent stack at time (17 + 1) = [ `__eq__(7, 9)`, [ ] ]	if parent stack at time (17 + 1) = parent stack at time 17 and parent stack at time 17 = [ `__eq__(7, 9)`, [ ] ], then parent stack at time (17 + 1) = [ `__eq__(7, 9)`, [ ] ] (Transitive Property of Equality)
3	17 + 1 = 18	17 + 1 = 18 (Fixed Value Statement)
4	parent stack at time (17 + 1) = parent stack at time 18	if 17 + 1 = 18, then parent stack at time (17 + 1) = parent stack at time 18 (Substitution)
5	parent stack at time 18 = [ `__eq__(7, 9)`, [ ] ]	if parent stack at time (17 + 1) = parent stack at time 18 and parent stack at time (17 + 1) = [ `__eq__(7, 9)`, [ ] ], then parent stack at time 18 = [ `__eq__(7, 9)`, [ ] ] (Transitive Property of Equality Variation 2)

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