Proof: Do Line At Unchanged 53

Let's prove the following theorem:

if the following are true:

expression state at time 53 = "return"
the line at time 53 = 6

then the line at time 54 = 6

Proof:

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Given

1	expression state at time 53 = "return"
2	the line at time 53 = 6

Proof Table

#	Claim	Reason
1	the line at time (53 + 1) = the line at time 53	if expression state at time 53 = "return", then the line at time (53 + 1) = the line at time 53 (Return (6))
2	the line at time (53 + 1) = 6	if the line at time (53 + 1) = the line at time 53 and the line at time 53 = 6, then the line at time (53 + 1) = 6 (Transitive Property of Equality)
3	53 + 1 = 54	53 + 1 = 54 (Fixed Value Statement)
4	the line at time (53 + 1) = the line at time 54	if 53 + 1 = 54, then the line at time (53 + 1) = the line at time 54 (Substitution)
5	the line at time 54 = 6	if the line at time (53 + 1) = the line at time 54 and the line at time (53 + 1) = 6, then the line at time 54 = 6 (Transitive Property of Equality Variation 2)

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