Proof: Get Iterate End Expr 77

Let's prove the following theorem:

if the following are true:

expression state at time 77 = "iterate_args"
arguments stack at time 77 = [ [ ], [ ] ]
parent stack at time 77 = [ self."y" = 5, [ ] ]

then the expression at time 78 = self."y" = 5

Proof:

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Given

1	expression state at time 77 = "iterate_args"
2	arguments stack at time 77 = [ [ ], [ ] ]
3	parent stack at time 77 = [ self."y" = 5, [ ] ]

Proof Table

#	Claim	Reason
1	the expression at time (77 + 1) = self."y" = 5	if expression state at time 77 = "iterate_args" and arguments stack at time 77 = [ [ ], [ ] ] and parent stack at time 77 = [ self."y" = 5, [ ] ], then the expression at time (77 + 1) = self."y" = 5 (Iterate Arguments Finished Rule)
2	77 + 1 = 78	77 + 1 = 78 (Fixed Value Statement)
3	the expression at time (77 + 1) = the expression at time 78	if 77 + 1 = 78, then the expression at time (77 + 1) = the expression at time 78 (Substitution)
4	the expression at time 78 = self."y" = 5	if the expression at time (77 + 1) = the expression at time 78 and the expression at time (77 + 1) = self."y" = 5, then the expression at time 78 = self."y" = 5 (Transitive Property of Equality Variation 2)

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