Proof: Do Tab At Unchanged 9

Let's prove the following theorem:

if the following are true:

expression state at time 9 = "begin_expr"
the tab at time 9 = 0

then the tab at time 10 = 0

Proof:

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Given

1	expression state at time 9 = "begin_expr"
2	the tab at time 9 = 0

Proof Table

#	Claim	Reason
1	the tab at time (9 + 1) = the tab at time 9	if expression state at time 9 = "begin_expr", then the tab at time (9 + 1) = the tab at time 9 (Insn Count Begin Expression (4))
2	the tab at time (9 + 1) = 0	if the tab at time (9 + 1) = the tab at time 9 and the tab at time 9 = 0, then the tab at time (9 + 1) = 0 (Transitive Property of Equality)
3	9 + 1 = 10	9 + 1 = 10 (Fixed Value Statement)
4	the tab at time (9 + 1) = the tab at time 10	if 9 + 1 = 10, then the tab at time (9 + 1) = the tab at time 10 (Substitution)
5	the tab at time 10 = 0	if the tab at time (9 + 1) = the tab at time 10 and the tab at time (9 + 1) = 0, then the tab at time 10 = 0 (Transitive Property of Equality Variation 2)

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