Proof: Do Line At Unchanged 19

Let's prove the following theorem:

if the following are true:

expression state at time 19 = "iterate_args"
the line at time 19 = 3

then the line at time 20 = 3

Proof:

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Given

1	expression state at time 19 = "iterate_args"
2	the line at time 19 = 3

Proof Table

#	Claim	Reason
1	the line at time (19 + 1) = the line at time 19	if expression state at time 19 = "iterate_args", then the line at time (19 + 1) = the line at time 19 (Iterate Insn (3))
2	the line at time (19 + 1) = 3	if the line at time (19 + 1) = the line at time 19 and the line at time 19 = 3, then the line at time (19 + 1) = 3 (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 = 3	if the line at time (19 + 1) = the line at time 20 and the line at time (19 + 1) = 3, then the line at time 20 = 3 (Transitive Property of Equality Variation 2)

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