Proof: Get New State 19

Let's prove the following theorem:

if expression state at time 19 = "return", then expression state at time 20 = "iterate_args"

Proof:

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Given

1	expression state at time 19 = "return"

Proof Table

#	Claim	Reason
1	expression state at time (19 + 1) = "iterate_args"	if expression state at time 19 = "return", then expression state at time (19 + 1) = "iterate_args" (Return State Property)
2	19 + 1 = 20	19 + 1 = 20 (Fixed Value Statement)
3	expression state at time (19 + 1) = expression state at time 20	if 19 + 1 = 20, then expression state at time (19 + 1) = expression state at time 20 (Substitution)
4	expression state at time 20 = "iterate_args"	if expression state at time (19 + 1) = expression state at time 20 and expression state at time (19 + 1) = "iterate_args", then expression state at time 20 = "iterate_args" (Transitive Property of Equality Variation 2)

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