Proof: Do Line At Unchanged 9

Let's prove the following theorem:

if the following are true:

expression state at time 9 = "return"
the line at time 9 = 1

then the line at time 10 = 1

Proof:

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Given

1	expression state at time 9 = "return"
2	the line at time 9 = 1

Proof Table

#	Claim	Reason
1	the line at time (9 + 1) = the line at time 9	if expression state at time 9 = "return", then the line at time (9 + 1) = the line at time 9 (Return (6))
2	the line at time (9 + 1) = 1	if the line at time (9 + 1) = the line at time 9 and the line at time 9 = 1, then the line at time (9 + 1) = 1 (Transitive Property of Equality)
3	9 + 1 = 10	9 + 1 = 10 (Fixed Value Statement)
4	the line at time (9 + 1) = the line at time 10	if 9 + 1 = 10, then the line at time (9 + 1) = the line at time 10 (Substitution)
5	the line at time 10 = 1	if the line at time (9 + 1) = the line at time 10 and the line at time (9 + 1) = 1, then the line at time 10 = 1 (Transitive Property of Equality Variation 2)

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