Proof: Do Line At Unchanged 12

Let's prove the following theorem:

if the following are true:

expression state at time 12 = "return"
the line at time 12 = 8

then the line at time 13 = 8

Proof:

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Given

1	expression state at time 12 = "return"
2	the line at time 12 = 8

Proof Table

#	Claim	Reason
1	the line at time (12 + 1) = the line at time 12	if expression state at time 12 = "return", then the line at time (12 + 1) = the line at time 12 (Return (6))
2	the line at time (12 + 1) = 8	if the line at time (12 + 1) = the line at time 12 and the line at time 12 = 8, then the line at time (12 + 1) = 8 (Transitive Property of Equality)
3	12 + 1 = 13	12 + 1 = 13 (Fixed Value Statement)
4	the line at time (12 + 1) = the line at time 13	if 12 + 1 = 13, then the line at time (12 + 1) = the line at time 13 (Substitution)
5	the line at time 13 = 8	if the line at time (12 + 1) = the line at time 13 and the line at time (12 + 1) = 8, then the line at time 13 = 8 (Transitive Property of Equality Variation 2)

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