Proof: Get New State 9

Let's prove the following theorem:

if expression state at time 9 = "return", then expression state at time 10 = "iterate_args"

Proof:

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Given

1	expression state at time 9 = "return"

Proof Table

#	Claim	Reason
1	expression state at time (9 + 1) = "iterate_args"	if expression state at time 9 = "return", then expression state at time (9 + 1) = "iterate_args" (Return State Property)
2	9 + 1 = 10	9 + 1 = 10 (Fixed Value Statement)
3	expression state at time (9 + 1) = expression state at time 10	if 9 + 1 = 10, then expression state at time (9 + 1) = expression state at time 10 (Substitution)
4	expression state at time 10 = "iterate_args"	if expression state at time (9 + 1) = expression state at time 10 and expression state at time (9 + 1) = "iterate_args", then expression state at time 10 = "iterate_args" (Transitive Property of Equality Variation 2)

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