Proof: Get New State 46

Let's prove the following theorem:

if expression state at time 46 = "return", then expression state at time 47 = "iterate_args"

Proof:

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Given

1	expression state at time 46 = "return"

Proof Table

#	Claim	Reason
1	expression state at time (46 + 1) = "iterate_args"	if expression state at time 46 = "return", then expression state at time (46 + 1) = "iterate_args" (Return State Property)
2	46 + 1 = 47	46 + 1 = 47 (Fixed Value Statement)
3	expression state at time (46 + 1) = expression state at time 47	if 46 + 1 = 47, then expression state at time (46 + 1) = expression state at time 47 (Substitution)
4	expression state at time 47 = "iterate_args"	if expression state at time (46 + 1) = expression state at time 47 and expression state at time (46 + 1) = "iterate_args", then expression state at time 47 = "iterate_args" (Transitive Property of Equality Variation 2)

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