Proof: Do Tab At Unchanged 21

Let's prove the following theorem:

if the following are true:

expression state at time 21 = "return"
the tab at time 21 = 2

then the tab at time 22 = 2

Proof:

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Given

1	expression state at time 21 = "return"
2	the tab at time 21 = 2

Proof Table

#	Claim	Reason
1	the tab at time (21 + 1) = the tab at time 21	if expression state at time 21 = "return", then the tab at time (21 + 1) = the tab at time 21 (Return (7))
2	the tab at time (21 + 1) = 2	if the tab at time (21 + 1) = the tab at time 21 and the tab at time 21 = 2, then the tab at time (21 + 1) = 2 (Transitive Property of Equality)
3	21 + 1 = 22	21 + 1 = 22 (Fixed Value Statement)
4	the tab at time (21 + 1) = the tab at time 22	if 21 + 1 = 22, then the tab at time (21 + 1) = the tab at time 22 (Substitution)
5	the tab at time 22 = 2	if the tab at time (21 + 1) = the tab at time 22 and the tab at time (21 + 1) = 2, then the tab at time 22 = 2 (Transitive Property of Equality Variation 2)

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