Proof: Do Tab At Unchanged 30

Let's prove the following theorem:

if the following are true:

expression state at time 30 = "begin_expr"
the tab at time 30 = 0

then the tab at time 31 = 0

Proof:

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Given

1	expression state at time 30 = "begin_expr"
2	the tab at time 30 = 0

Proof Table

#	Claim	Reason
1	the tab at time (30 + 1) = the tab at time 30	if expression state at time 30 = "begin_expr", then the tab at time (30 + 1) = the tab at time 30 (Insn Count Begin Expression (4))
2	the tab at time (30 + 1) = 0	if the tab at time (30 + 1) = the tab at time 30 and the tab at time 30 = 0, then the tab at time (30 + 1) = 0 (Transitive Property of Equality)
3	30 + 1 = 31	30 + 1 = 31 (Fixed Value Statement)
4	the tab at time (30 + 1) = the tab at time 31	if 30 + 1 = 31, then the tab at time (30 + 1) = the tab at time 31 (Substitution)
5	the tab at time 31 = 0	if the tab at time (30 + 1) = the tab at time 31 and the tab at time (30 + 1) = 0, then the tab at time 31 = 0 (Transitive Property of Equality Variation 2)

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