Proof: Do Line At Unchanged 35

Let's prove the following theorem:

if the following are true:

expression state at time 35 = "iterate_args"
the line at time 35 = 2

then the line at time 36 = 2

Proof:

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Given

1	expression state at time 35 = "iterate_args"
2	the line at time 35 = 2

Proof Table

#	Claim	Reason
1	the line at time (35 + 1) = the line at time 35	if expression state at time 35 = "iterate_args", then the line at time (35 + 1) = the line at time 35 (Iterate Insn (3))
2	the line at time (35 + 1) = 2	if the line at time (35 + 1) = the line at time 35 and the line at time 35 = 2, then the line at time (35 + 1) = 2 (Transitive Property of Equality)
3	35 + 1 = 36	35 + 1 = 36 (Fixed Value Statement)
4	the line at time (35 + 1) = the line at time 36	if 35 + 1 = 36, then the line at time (35 + 1) = the line at time 36 (Substitution)
5	the line at time 36 = 2	if the line at time (35 + 1) = the line at time 36 and the line at time (35 + 1) = 2, then the line at time 36 = 2 (Transitive Property of Equality Variation 2)

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