Proof: Get Iterate End Expr 39

Let's prove the following theorem:

if the following are true:

expression state at time 39 = "iterate_args"
arguments stack at time 39 = [ [ ], [ ] ]
parent stack at time 39 = [ self."last_name" = last_name, [ ] ]

then the expression at time 40 = self."last_name" = last_name

Proof:

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Given

1	expression state at time 39 = "iterate_args"
2	arguments stack at time 39 = [ [ ], [ ] ]
3	parent stack at time 39 = [ self."last_name" = last_name, [ ] ]

Proof Table

#	Claim	Reason
1	the expression at time (39 + 1) = self."last_name" = last_name	if expression state at time 39 = "iterate_args" and arguments stack at time 39 = [ [ ], [ ] ] and parent stack at time 39 = [ self."last_name" = last_name, [ ] ], then the expression at time (39 + 1) = self."last_name" = last_name (Iterate Arguments Finished Rule)
2	39 + 1 = 40	39 + 1 = 40 (Fixed Value Statement)
3	the expression at time (39 + 1) = the expression at time 40	if 39 + 1 = 40, then the expression at time (39 + 1) = the expression at time 40 (Substitution)
4	the expression at time 40 = self."last_name" = last_name	if the expression at time (39 + 1) = the expression at time 40 and the expression at time (39 + 1) = self."last_name" = last_name, then the expression at time 40 = self."last_name" = last_name (Transitive Property of Equality Variation 2)

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