Proof: Get Iterate End Expr 47

Let's prove the following theorem:

if the following are true:

expression state at time 47 = "iterate_args"
arguments stack at time 47 = [ [ ], [ ] ]
parent stack at time 47 = [ self."age" = age, [ ] ]

then the expression at time 48 = self."age" = age

Proof:

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Given

1	expression state at time 47 = "iterate_args"
2	arguments stack at time 47 = [ [ ], [ ] ]
3	parent stack at time 47 = [ self."age" = age, [ ] ]

Proof Table

#	Claim	Reason
1	the expression at time (47 + 1) = self."age" = age	if expression state at time 47 = "iterate_args" and arguments stack at time 47 = [ [ ], [ ] ] and parent stack at time 47 = [ self."age" = age, [ ] ], then the expression at time (47 + 1) = self."age" = age (Iterate Arguments Finished Rule)
2	47 + 1 = 48	47 + 1 = 48 (Fixed Value Statement)
3	the expression at time (47 + 1) = the expression at time 48	if 47 + 1 = 48, then the expression at time (47 + 1) = the expression at time 48 (Substitution)
4	the expression at time 48 = self."age" = age	if the expression at time (47 + 1) = the expression at time 48 and the expression at time (47 + 1) = self."age" = age, then the expression at time 48 = self."age" = age (Transitive Property of Equality Variation 2)

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