Proof: Get Iterate End Expr 30

Let's prove the following theorem:

if the following are true:

expression state at time 30 = "iterate_args"
arguments stack at time 30 = [ [ ], [ ] ]
parent stack at time 30 = [ self."y" = 0, [ ] ]

then the expression at time 31 = self."y" = 0

Proof:

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Given

1	expression state at time 30 = "iterate_args"
2	arguments stack at time 30 = [ [ ], [ ] ]
3	parent stack at time 30 = [ self."y" = 0, [ ] ]

Proof Table

#	Claim	Reason
1	the expression at time (30 + 1) = self."y" = 0	if expression state at time 30 = "iterate_args" and arguments stack at time 30 = [ [ ], [ ] ] and parent stack at time 30 = [ self."y" = 0, [ ] ], then the expression at time (30 + 1) = self."y" = 0 (Iterate Arguments Finished Rule)
2	30 + 1 = 31	30 + 1 = 31 (Fixed Value Statement)
3	the expression at time (30 + 1) = the expression at time 31	if 30 + 1 = 31, then the expression at time (30 + 1) = the expression at time 31 (Substitution)
4	the expression at time 31 = self."y" = 0	if the expression at time (30 + 1) = the expression at time 31 and the expression at time (30 + 1) = self."y" = 0, then the expression at time 31 = self."y" = 0 (Transitive Property of Equality Variation 2)

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