Proof: Do Line At Unchanged 19

Let's prove the following theorem:

if the following are true:

expression state at time 19 = "begin_expr"
the line at time 19 = 1

then the line at time 20 = 1

Proof:

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Given

1	expression state at time 19 = "begin_expr"
2	the line at time 19 = 1

Proof Table

#	Claim	Reason
1	the line at time (19 + 1) = the line at time 19	if expression state at time 19 = "begin_expr", then the line at time (19 + 1) = the line at time 19 (Insn Count Begin Expression (3))
2	the line at time (19 + 1) = 1	if the line at time (19 + 1) = the line at time 19 and the line at time 19 = 1, then the line at time (19 + 1) = 1 (Transitive Property of Equality)
3	19 + 1 = 20	19 + 1 = 20 (Fixed Value Statement)
4	the line at time (19 + 1) = the line at time 20	if 19 + 1 = 20, then the line at time (19 + 1) = the line at time 20 (Substitution)
5	the line at time 20 = 1	if the line at time (19 + 1) = the line at time 20 and the line at time (19 + 1) = 1, then the line at time 20 = 1 (Transitive Property of Equality Variation 2)

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