Proof: Do Line At Unchanged 21

Let's prove the following theorem:

if the following are true:

expression state at time 21 = "iterate_args"
the line at time 21 = 1

then the line at time 22 = 1

Proof:

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Given

1	expression state at time 21 = "iterate_args"
2	the line at time 21 = 1

Proof Table

#	Claim	Reason
1	the line at time (21 + 1) = the line at time 21	if expression state at time 21 = "iterate_args", then the line at time (21 + 1) = the line at time 21 (Iterate Insn (3))
2	the line at time (21 + 1) = 1	if the line at time (21 + 1) = the line at time 21 and the line at time 21 = 1, then the line at time (21 + 1) = 1 (Transitive Property of Equality)
3	21 + 1 = 22	21 + 1 = 22 (Fixed Value Statement)
4	the line at time (21 + 1) = the line at time 22	if 21 + 1 = 22, then the line at time (21 + 1) = the line at time 22 (Substitution)
5	the line at time 22 = 1	if the line at time (21 + 1) = the line at time 22 and the line at time (21 + 1) = 1, then the line at time 22 = 1 (Transitive Property of Equality Variation 2)

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