Proof: Do Line At Unchanged 76

Let's prove the following theorem:

if the following are true:

expression state at time 76 = "return"
the line at time 76 = 9

then the line at time 77 = 9

Proof:

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Given

1	expression state at time 76 = "return"
2	the line at time 76 = 9

Proof Table

#	Claim	Reason
1	the line at time (76 + 1) = the line at time 76	if expression state at time 76 = "return", then the line at time (76 + 1) = the line at time 76 (Return (6))
2	the line at time (76 + 1) = 9	if the line at time (76 + 1) = the line at time 76 and the line at time 76 = 9, then the line at time (76 + 1) = 9 (Transitive Property of Equality)
3	76 + 1 = 77	76 + 1 = 77 (Fixed Value Statement)
4	the line at time (76 + 1) = the line at time 77	if 76 + 1 = 77, then the line at time (76 + 1) = the line at time 77 (Substitution)
5	the line at time 77 = 9	if the line at time (76 + 1) = the line at time 77 and the line at time (76 + 1) = 9, then the line at time 77 = 9 (Transitive Property of Equality Variation 2)

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