Proof: Do Line At Unchanged 29

Let's prove the following theorem:

if the following are true:
  • expression state at time 29 = "iterate_args"
  • the line at time 29 = 2

then the line at time 30 = 2

Proof:

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Given
1 expression state at time 29 = "iterate_args"
2 the line at time 29 = 2
Proof Table
# Claim Reason
1 the line at time (29 + 1) = the line at time 29 if expression state at time 29 = "iterate_args", then the line at time (29 + 1) = the line at time 29
2 the line at time (29 + 1) = 2 if the line at time (29 + 1) = the line at time 29 and the line at time 29 = 2, then the line at time (29 + 1) = 2
3 29 + 1 = 30 29 + 1 = 30
4 the line at time (29 + 1) = the line at time 30 if 29 + 1 = 30, then the line at time (29 + 1) = the line at time 30
5 the line at time 30 = 2 if the line at time (29 + 1) = the line at time 30 and the line at time (29 + 1) = 2, then the line at time 30 = 2

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