Proof: Do Line At Unchanged 55

Let's prove the following theorem:

if the following are true:
  • expression state at time 55 = "iterate_args"
  • the line at time 55 = 9

then the line at time 56 = 9

Proof:

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Given
1 expression state at time 55 = "iterate_args"
2 the line at time 55 = 9
Proof Table
# Claim Reason
1 the line at time (55 + 1) = the line at time 55 if expression state at time 55 = "iterate_args", then the line at time (55 + 1) = the line at time 55
2 the line at time (55 + 1) = 9 if the line at time (55 + 1) = the line at time 55 and the line at time 55 = 9, then the line at time (55 + 1) = 9
3 55 + 1 = 56 55 + 1 = 56
4 the line at time (55 + 1) = the line at time 56 if 55 + 1 = 56, then the line at time (55 + 1) = the line at time 56
5 the line at time 56 = 9 if the line at time (55 + 1) = the line at time 56 and the line at time (55 + 1) = 9, then the line at time 56 = 9

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