Proof: Do Line At Unchanged 18

Let's prove the following theorem:

if the following are true:

expression state at time 18 = "begin_expr"
the line at time 18 = 3

then the line at time 19 = 3

Proof:

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Given

1	expression state at time 18 = "begin_expr"
2	the line at time 18 = 3

Proof Table

#	Claim	Reason
1	the line at time (18 + 1) = the line at time 18	if expression state at time 18 = "begin_expr", then the line at time (18 + 1) = the line at time 18 (Insn Count Begin Expression (3))
2	the line at time (18 + 1) = 3	if the line at time (18 + 1) = the line at time 18 and the line at time 18 = 3, then the line at time (18 + 1) = 3 (Transitive Property of Equality)
3	18 + 1 = 19	18 + 1 = 19 (Fixed Value Statement)
4	the line at time (18 + 1) = the line at time 19	if 18 + 1 = 19, then the line at time (18 + 1) = the line at time 19 (Substitution)
5	the line at time 19 = 3	if the line at time (18 + 1) = the line at time 19 and the line at time (18 + 1) = 3, then the line at time 19 = 3 (Transitive Property of Equality Variation 2)

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