Proof: Get Iterate End Expr 57

Let's prove the following theorem:

if the following are true:

expression state at time 57 = "iterate_args"
arguments stack at time 57 = [ [ ], [ [ ], [ ] ] ]
parent stack at time 57 = [ __add__(self.x, 5), [ self."x" = __add__(self.x, 5), [ ] ] ]

then the expression at time 58 = __add__(self.x, 5)

Proof:

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Given

1	expression state at time 57 = "iterate_args"
2	arguments stack at time 57 = [ [ ], [ [ ], [ ] ] ]
3	parent stack at time 57 = [ `__add__(self.x, 5)`, [ self."x" = `__add__(self.x, 5)`, [ ] ] ]

Proof Table

#	Claim	Reason
1	the expression at time (57 + 1) = `__add__(self.x, 5)`	if expression state at time 57 = "iterate_args" and arguments stack at time 57 = [ [ ], [ [ ], [ ] ] ] and parent stack at time 57 = [ `__add__(self.x, 5)`, [ self."x" = `__add__(self.x, 5)`, [ ] ] ], then the expression at time (57 + 1) = `__add__(self.x, 5)` (Iterate Arguments Finished Rule)
2	57 + 1 = 58	57 + 1 = 58 (Fixed Value Statement)
3	the expression at time (57 + 1) = the expression at time 58	if 57 + 1 = 58, then the expression at time (57 + 1) = the expression at time 58 (Substitution)
4	the expression at time 58 = `__add__(self.x, 5)`	if the expression at time (57 + 1) = the expression at time 58 and the expression at time (57 + 1) = `__add__(self.x, 5)`, then the expression at time 58 = `__add__(self.x, 5)` (Transitive Property of Equality Variation 2)

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