Proof: Do Line At Unchanged 74

Let's prove the following theorem:

if the following are true:

expression state at time 74 = "iterate_args"
the line at time 74 = 9

then the line at time 75 = 9

Proof:

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Given

1	expression state at time 74 = "iterate_args"
2	the line at time 74 = 9

Proof Table

#	Claim	Reason
1	the line at time (74 + 1) = the line at time 74	if expression state at time 74 = "iterate_args", then the line at time (74 + 1) = the line at time 74 (Iterate Insn (3))
2	the line at time (74 + 1) = 9	if the line at time (74 + 1) = the line at time 74 and the line at time 74 = 9, then the line at time (74 + 1) = 9 (Transitive Property of Equality)
3	74 + 1 = 75	74 + 1 = 75 (Fixed Value Statement)
4	the line at time (74 + 1) = the line at time 75	if 74 + 1 = 75, then the line at time (74 + 1) = the line at time 75 (Substitution)
5	the line at time 75 = 9	if the line at time (74 + 1) = the line at time 75 and the line at time (74 + 1) = 9, then the line at time 75 = 9 (Transitive Property of Equality Variation 2)

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