Proof: Do Line At Unchanged 10

Let's prove the following theorem:

if the following are true:
  • expression state at time 10 = "iterate_args"
  • the line at time 10 = 1

then the line at time 11 = 1

Proof:

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Given
1 expression state at time 10 = "iterate_args"
2 the line at time 10 = 1
Proof Table
# Claim Reason
1 the line at time (10 + 1) = the line at time 10 if expression state at time 10 = "iterate_args", then the line at time (10 + 1) = the line at time 10
2 the line at time (10 + 1) = 1 if the line at time (10 + 1) = the line at time 10 and the line at time 10 = 1, then the line at time (10 + 1) = 1
3 10 + 1 = 11 10 + 1 = 11
4 the line at time (10 + 1) = the line at time 11 if 10 + 1 = 11, then the line at time (10 + 1) = the line at time 11
5 the line at time 11 = 1 if the line at time (10 + 1) = the line at time 11 and the line at time (10 + 1) = 1, then the line at time 11 = 1

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