Proof: Do Tab At Unchanged 45

Let's prove the following theorem:

if the following are true:

expression state at time 45 = "begin_expr"
the tab at time 45 = 2

then the tab at time 46 = 2

Proof:

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Given

1	expression state at time 45 = "begin_expr"
2	the tab at time 45 = 2

Proof Table

#	Claim	Reason
1	the tab at time (45 + 1) = the tab at time 45	if expression state at time 45 = "begin_expr", then the tab at time (45 + 1) = the tab at time 45 (Insn Count Begin Expression (4))
2	the tab at time (45 + 1) = 2	if the tab at time (45 + 1) = the tab at time 45 and the tab at time 45 = 2, then the tab at time (45 + 1) = 2 (Transitive Property of Equality)
3	45 + 1 = 46	45 + 1 = 46 (Fixed Value Statement)
4	the tab at time (45 + 1) = the tab at time 46	if 45 + 1 = 46, then the tab at time (45 + 1) = the tab at time 46 (Substitution)
5	the tab at time 46 = 2	if the tab at time (45 + 1) = the tab at time 46 and the tab at time (45 + 1) = 2, then the tab at time 46 = 2 (Transitive Property of Equality Variation 2)

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