Proof: Do Line At Unchanged 14

Let's prove the following theorem:

if the following are true:

expression state at time 14 = "iterate_args"
the line at time 14 = 3

then the line at time 15 = 3

Proof:

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Given

1	expression state at time 14 = "iterate_args"
2	the line at time 14 = 3

Proof Table

#	Claim	Reason
1	the line at time (14 + 1) = the line at time 14	if expression state at time 14 = "iterate_args", then the line at time (14 + 1) = the line at time 14 (Iterate Insn (3))
2	the line at time (14 + 1) = 3	if the line at time (14 + 1) = the line at time 14 and the line at time 14 = 3, then the line at time (14 + 1) = 3 (Transitive Property of Equality)
3	14 + 1 = 15	14 + 1 = 15 (Fixed Value Statement)
4	the line at time (14 + 1) = the line at time 15	if 14 + 1 = 15, then the line at time (14 + 1) = the line at time 15 (Substitution)
5	the line at time 15 = 3	if the line at time (14 + 1) = the line at time 15 and the line at time (14 + 1) = 3, then the line at time 15 = 3 (Transitive Property of Equality Variation 2)

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