Proof: Do Line At Unchanged 77

Let's prove the following theorem:

if the following are true:
  • expression state at time 77 = "iterate_args"
  • the line at time 77 = 9

then the line at time 78 = 9

Proof:

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Given
1 expression state at time 77 = "iterate_args"
2 the line at time 77 = 9
Proof Table
# Claim Reason
1 the line at time (77 + 1) = the line at time 77 if expression state at time 77 = "iterate_args", then the line at time (77 + 1) = the line at time 77
2 the line at time (77 + 1) = 9 if the line at time (77 + 1) = the line at time 77 and the line at time 77 = 9, then the line at time (77 + 1) = 9
3 77 + 1 = 78 77 + 1 = 78
4 the line at time (77 + 1) = the line at time 78 if 77 + 1 = 78, then the line at time (77 + 1) = the line at time 78
5 the line at time 78 = 9 if the line at time (77 + 1) = the line at time 78 and the line at time (77 + 1) = 9, then the line at time 78 = 9

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