Proof: Get Iterate State 54

Let's prove the following theorem:

if the following are true:

expression state at time 54 = "iterate_args"
arguments stack at time 54 = [ [ 5, [ ] ], [ [ ], [ ] ] ]

then expression state at time 55 = "begin_expr"

Proof:

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Given

1	expression state at time 54 = "iterate_args"
2	arguments stack at time 54 = [ [ 5, [ ] ], [ [ ], [ ] ] ]

Proof Table

#	Claim	Reason
1	expression state at time (54 + 1) = "begin_expr"	if expression state at time 54 = "iterate_args" and arguments stack at time 54 = [ [ 5, [ ] ], [ [ ], [ ] ] ], then expression state at time (54 + 1) = "begin_expr" (Iterate Arguments State Property)
2	54 + 1 = 55	54 + 1 = 55 (Fixed Value Statement)
3	expression state at time (54 + 1) = expression state at time 55	if 54 + 1 = 55, then expression state at time (54 + 1) = expression state at time 55 (Substitution)
4	expression state at time 55 = "begin_expr"	if expression state at time (54 + 1) = expression state at time 55 and expression state at time (54 + 1) = "begin_expr", then expression state at time 55 = "begin_expr" (Transitive Property of Equality Variation 2)

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