Proof: Do Tab At Unchanged 38

Let's prove the following theorem:

if the following are true:

expression state at time 38 = "return"
the tab at time 38 = 2

then the tab at time 39 = 2

Proof:

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Given

1	expression state at time 38 = "return"
2	the tab at time 38 = 2

Proof Table

#	Claim	Reason
1	the tab at time (38 + 1) = the tab at time 38	if expression state at time 38 = "return", then the tab at time (38 + 1) = the tab at time 38 (Return (7))
2	the tab at time (38 + 1) = 2	if the tab at time (38 + 1) = the tab at time 38 and the tab at time 38 = 2, then the tab at time (38 + 1) = 2 (Transitive Property of Equality)
3	38 + 1 = 39	38 + 1 = 39 (Fixed Value Statement)
4	the tab at time (38 + 1) = the tab at time 39	if 38 + 1 = 39, then the tab at time (38 + 1) = the tab at time 39 (Substitution)
5	the tab at time 39 = 2	if the tab at time (38 + 1) = the tab at time 39 and the tab at time (38 + 1) = 2, then the tab at time 39 = 2 (Transitive Property of Equality Variation 2)

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