Proof: Get Iterate Parent 61

Let's prove the following theorem:

if the following are true:

expression state at time 61 = "iterate_args"
arguments stack at time 61 = [ [ self.age, [ 12, [ ] ] ], [ ] ]
parent stack at time 61 = [ __mul__(self.age, 12), [ ] ]

then parent stack at time 62 = [ __mul__(self.age, 12), [ ] ]

Proof:

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Given

1	expression state at time 61 = "iterate_args"
2	arguments stack at time 61 = [ [ `self.age`, [ 12, [ ] ] ], [ ] ]
3	parent stack at time 61 = [ `__mul__(self.age, 12)`, [ ] ]

Proof Table

#	Claim	Reason
1	parent stack at time (61 + 1) = parent stack at time 61	if expression state at time 61 = "iterate_args" and arguments stack at time 61 = [ [ `self.age`, [ 12, [ ] ] ], [ ] ], then parent stack at time (61 + 1) = parent stack at time 61 (Do Iterage Args (4))
2	parent stack at time (61 + 1) = [ `__mul__(self.age, 12)`, [ ] ]	if parent stack at time (61 + 1) = parent stack at time 61 and parent stack at time 61 = [ `__mul__(self.age, 12)`, [ ] ], then parent stack at time (61 + 1) = [ `__mul__(self.age, 12)`, [ ] ] (Transitive Property of Equality)
3	61 + 1 = 62	61 + 1 = 62 (Fixed Value Statement)
4	parent stack at time (61 + 1) = parent stack at time 62	if 61 + 1 = 62, then parent stack at time (61 + 1) = parent stack at time 62 (Substitution)
5	parent stack at time 62 = [ `__mul__(self.age, 12)`, [ ] ]	if parent stack at time (61 + 1) = parent stack at time 62 and parent stack at time (61 + 1) = [ `__mul__(self.age, 12)`, [ ] ], then parent stack at time 62 = [ `__mul__(self.age, 12)`, [ ] ] (Transitive Property of Equality Variation 2)

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