Proof: Get Iterate Params 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, [ ] ] ], [ [ ], [ ] ] ]

then arguments stack at time 47 = [ [ 5, [ ] ], [ [ ], [ ] ] ]

Proof:

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Given

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

Proof Table

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

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