Proof: Get New State 31

Let's prove the following theorem:

if expression state at time 31 = "return", then expression state at time 32 = "iterate_args"

Proof:

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Given

1	expression state at time 31 = "return"

Proof Table

#	Claim	Reason
1	expression state at time (31 + 1) = "iterate_args"	if expression state at time 31 = "return", then expression state at time (31 + 1) = "iterate_args" (Return State Property)
2	31 + 1 = 32	31 + 1 = 32 (Fixed Value Statement)
3	expression state at time (31 + 1) = expression state at time 32	if 31 + 1 = 32, then expression state at time (31 + 1) = expression state at time 32 (Substitution)
4	expression state at time 32 = "iterate_args"	if expression state at time (31 + 1) = expression state at time 32 and expression state at time (31 + 1) = "iterate_args", then expression state at time 32 = "iterate_args" (Transitive Property of Equality Variation 2)

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