Proof: Get Iterate Parent 46

Let's prove the following theorem:

if the following are true:

expression state at time 46 = "iterate_args"
arguments stack at time 46 = [ [ self.x, [ 5, [ ] ] ], [ [ ], [ ] ] ]
parent stack at time 46 = [ __add__(self.x, 5), [ self."x" = __add__(self.x, 5), [ ] ] ]

then parent stack at time 47 = [ __add__(self.x, 5), [ self."x" = __add__(self.x, 5), [ ] ] ]

Proof:

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Given

1	expression state at time 46 = "iterate_args"
2	arguments stack at time 46 = [ [ `self.x`, [ 5, [ ] ] ], [ [ ], [ ] ] ]
3	parent stack at time 46 = [ `__add__(self.x, 5)`, [ self."x" = `__add__(self.x, 5)`, [ ] ] ]

Proof Table

#	Claim	Reason
1	parent stack at time (46 + 1) = parent stack at time 46	if expression state at time 46 = "iterate_args" and arguments stack at time 46 = [ [ `self.x`, [ 5, [ ] ] ], [ [ ], [ ] ] ], then parent stack at time (46 + 1) = parent stack at time 46 (Do Iterage Args (4))
2	parent stack at time (46 + 1) = [ `__add__(self.x, 5)`, [ self."x" = `__add__(self.x, 5)`, [ ] ] ]	if parent stack at time (46 + 1) = parent stack at time 46 and parent stack at time 46 = [ `__add__(self.x, 5)`, [ self."x" = `__add__(self.x, 5)`, [ ] ] ], then parent stack at time (46 + 1) = [ `__add__(self.x, 5)`, [ self."x" = `__add__(self.x, 5)`, [ ] ] ] (Transitive Property of Equality)
3	46 + 1 = 47	46 + 1 = 47 (Fixed Value Statement)
4	parent stack at time (46 + 1) = parent stack at time 47	if 46 + 1 = 47, then parent stack at time (46 + 1) = parent stack at time 47 (Substitution)
5	parent stack at time 47 = [ `__add__(self.x, 5)`, [ self."x" = `__add__(self.x, 5)`, [ ] ] ]	if parent stack at time (46 + 1) = parent stack at time 47 and parent stack at time (46 + 1) = [ `__add__(self.x, 5)`, [ self."x" = `__add__(self.x, 5)`, [ ] ] ], then parent stack at time 47 = [ `__add__(self.x, 5)`, [ self."x" = `__add__(self.x, 5)`, [ ] ] ] (Transitive Property of Equality Variation 2)

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