Proof: Do Line At Unchanged 36

Let's prove the following theorem:

if the following are true:

expression state at time 36 = "iterate_args"
the line at time 36 = 4

then the line at time 37 = 4

Proof:

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Given

1	expression state at time 36 = "iterate_args"
2	the line at time 36 = 4

Proof Table

#	Claim	Reason
1	the line at time (36 + 1) = the line at time 36	if expression state at time 36 = "iterate_args", then the line at time (36 + 1) = the line at time 36 (Iterate Insn (3))
2	the line at time (36 + 1) = 4	if the line at time (36 + 1) = the line at time 36 and the line at time 36 = 4, then the line at time (36 + 1) = 4 (Transitive Property of Equality)
3	36 + 1 = 37	36 + 1 = 37 (Fixed Value Statement)
4	the line at time (36 + 1) = the line at time 37	if 36 + 1 = 37, then the line at time (36 + 1) = the line at time 37 (Substitution)
5	the line at time 37 = 4	if the line at time (36 + 1) = the line at time 37 and the line at time (36 + 1) = 4, then the line at time 37 = 4 (Transitive Property of Equality Variation 2)

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