Proof: Get Iterate End Expr 55

Let's prove the following theorem:

if the following are true:

expression state at time 55 = "iterate_args"
arguments stack at time 55 = [ [ ], [ ] ]
parent stack at time 55 = [ p.age_in_months(), [ ] ]

then the expression at time 56 = p.age_in_months()

Proof:

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Given

1	expression state at time 55 = "iterate_args"
2	arguments stack at time 55 = [ [ ], [ ] ]
3	parent stack at time 55 = [ `p.age_in_months()`, [ ] ]

Proof Table

#	Claim	Reason
1	the expression at time (55 + 1) = `p.age_in_months()`	if expression state at time 55 = "iterate_args" and arguments stack at time 55 = [ [ ], [ ] ] and parent stack at time 55 = [ `p.age_in_months()`, [ ] ], then the expression at time (55 + 1) = `p.age_in_months()` (Iterate Arguments Finished Rule)
2	55 + 1 = 56	55 + 1 = 56 (Fixed Value Statement)
3	the expression at time (55 + 1) = the expression at time 56	if 55 + 1 = 56, then the expression at time (55 + 1) = the expression at time 56 (Substitution)
4	the expression at time 56 = `p.age_in_months()`	if the expression at time (55 + 1) = the expression at time 56 and the expression at time (55 + 1) = `p.age_in_months()`, then the expression at time 56 = `p.age_in_months()` (Transitive Property of Equality Variation 2)

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