Proof: Get Iterate End State 51

Let's prove the following theorem:

if the following are true:

expression state at time 51 = "iterate_args"
arguments stack at time 51 = [ [ ], [ [ 5, [ ] ], [ [ ], [ ] ] ] ]
parent stack at time 51 = [ self.x, [ __add__(self.x, 5), [ self."x" = __add__(self.x, 5), [ ] ] ] ]

then expression state at time 52 = "call_function_begin"

Proof:

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Given

1	expression state at time 51 = "iterate_args"
2	arguments stack at time 51 = [ [ ], [ [ 5, [ ] ], [ [ ], [ ] ] ] ]
3	parent stack at time 51 = [ `self.x`, [ `__add__(self.x, 5)`, [ self."x" = `__add__(self.x, 5)`, [ ] ] ] ]

Proof Table

#	Claim	Reason
1	expression state at time (51 + 1) = "call_function_begin"	if expression state at time 51 = "iterate_args" and arguments stack at time 51 = [ [ ], [ [ 5, [ ] ], [ [ ], [ ] ] ] ] and parent stack at time 51 = [ `self.x`, [ `__add__(self.x, 5)`, [ self."x" = `__add__(self.x, 5)`, [ ] ] ] ], then expression state at time (51 + 1) = "call_function_begin" (Iterate Arguments Finished State Rule)
2	51 + 1 = 52	51 + 1 = 52 (Fixed Value Statement)
3	expression state at time (51 + 1) = expression state at time 52	if 51 + 1 = 52, then expression state at time (51 + 1) = expression state at time 52 (Substitution)
4	expression state at time 52 = "call_function_begin"	if expression state at time (51 + 1) = expression state at time 52 and expression state at time (51 + 1) = "call_function_begin", then expression state at time 52 = "call_function_begin" (Transitive Property of Equality Variation 2)

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