Proof: Do Line At Unchanged 30

Let's prove the following theorem:

if the following are true:

expression state at time 30 = "return"
the line at time 30 = 3

then the line at time 31 = 3

Proof:

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Given

1	expression state at time 30 = "return"
2	the line at time 30 = 3

Proof Table

#	Claim	Reason
1	the line at time (30 + 1) = the line at time 30	if expression state at time 30 = "return", then the line at time (30 + 1) = the line at time 30 (Return (6))
2	the line at time (30 + 1) = 3	if the line at time (30 + 1) = the line at time 30 and the line at time 30 = 3, then the line at time (30 + 1) = 3 (Transitive Property of Equality)
3	30 + 1 = 31	30 + 1 = 31 (Fixed Value Statement)
4	the line at time (30 + 1) = the line at time 31	if 30 + 1 = 31, then the line at time (30 + 1) = the line at time 31 (Substitution)
5	the line at time 31 = 3	if the line at time (30 + 1) = the line at time 31 and the line at time (30 + 1) = 3, then the line at time 31 = 3 (Transitive Property of Equality Variation 2)

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