Proof: Do Line At Unchanged 33

Let's prove the following theorem:

if the following are true:

expression state at time 33 = "begin_expr"
the line at time 33 = 2

then the line at time 34 = 2

Proof:

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Given

1	expression state at time 33 = "begin_expr"
2	the line at time 33 = 2

Proof Table

#	Claim	Reason
1	the line at time (33 + 1) = the line at time 33	if expression state at time 33 = "begin_expr", then the line at time (33 + 1) = the line at time 33 (Insn Count Begin Expression (3))
2	the line at time (33 + 1) = 2	if the line at time (33 + 1) = the line at time 33 and the line at time 33 = 2, then the line at time (33 + 1) = 2 (Transitive Property of Equality)
3	33 + 1 = 34	33 + 1 = 34 (Fixed Value Statement)
4	the line at time (33 + 1) = the line at time 34	if 33 + 1 = 34, then the line at time (33 + 1) = the line at time 34 (Substitution)
5	the line at time 34 = 2	if the line at time (33 + 1) = the line at time 34 and the line at time (33 + 1) = 2, then the line at time 34 = 2 (Transitive Property of Equality Variation 2)

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