Proof: Do Line At Unchanged 48

Let's prove the following theorem:

if the following are true:

expression state at time 48 = "iterate_args"
the line at time 48 = 6

then the line at time 49 = 6

Proof:

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Given

1	expression state at time 48 = "iterate_args"
2	the line at time 48 = 6

Proof Table

#	Claim	Reason
1	the line at time (48 + 1) = the line at time 48	if expression state at time 48 = "iterate_args", then the line at time (48 + 1) = the line at time 48 (Iterate Insn (3))
2	the line at time (48 + 1) = 6	if the line at time (48 + 1) = the line at time 48 and the line at time 48 = 6, then the line at time (48 + 1) = 6 (Transitive Property of Equality)
3	48 + 1 = 49	48 + 1 = 49 (Fixed Value Statement)
4	the line at time (48 + 1) = the line at time 49	if 48 + 1 = 49, then the line at time (48 + 1) = the line at time 49 (Substitution)
5	the line at time 49 = 6	if the line at time (48 + 1) = the line at time 49 and the line at time (48 + 1) = 6, then the line at time 49 = 6 (Transitive Property of Equality Variation 2)

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