Proof: Do Line At Unchanged 23

Let's prove the following theorem:

if the following are true:

expression state at time 23 = "return"
the line at time 23 = 1

then the line at time 24 = 1

Proof:

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Given

1	expression state at time 23 = "return"
2	the line at time 23 = 1

Proof Table

#	Claim	Reason
1	the line at time (23 + 1) = the line at time 23	if expression state at time 23 = "return", then the line at time (23 + 1) = the line at time 23 (Return (6))
2	the line at time (23 + 1) = 1	if the line at time (23 + 1) = the line at time 23 and the line at time 23 = 1, then the line at time (23 + 1) = 1 (Transitive Property of Equality)
3	23 + 1 = 24	23 + 1 = 24 (Fixed Value Statement)
4	the line at time (23 + 1) = the line at time 24	if 23 + 1 = 24, then the line at time (23 + 1) = the line at time 24 (Substitution)
5	the line at time 24 = 1	if the line at time (23 + 1) = the line at time 24 and the line at time (23 + 1) = 1, then the line at time 24 = 1 (Transitive Property of Equality Variation 2)

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