Proof: Do Line At Unchanged 45

Let's prove the following theorem:

if the following are true:

expression state at time 45 = "begin_expr"
the line at time 45 = 5

then the line at time 46 = 5

Proof:

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Given

1	expression state at time 45 = "begin_expr"
2	the line at time 45 = 5

Proof Table

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

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