Proof: Do Line At Unchanged 81

Let's prove the following theorem:

if the following are true:
  • expression state at time 81 = "call_returned"
  • the line at time 81 = 12

then the line at time 82 = 12

Proof:

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Given
1 expression state at time 81 = "call_returned"
2 the line at time 81 = 12
Proof Table
# Claim Reason
1 the line at time (81 + 1) = the line at time 81 if expression state at time 81 = "call_returned", then the line at time (81 + 1) = the line at time 81
2 the line at time (81 + 1) = 12 if the line at time (81 + 1) = the line at time 81 and the line at time 81 = 12, then the line at time (81 + 1) = 12
3 81 + 1 = 82 81 + 1 = 82
4 the line at time (81 + 1) = the line at time 82 if 81 + 1 = 82, then the line at time (81 + 1) = the line at time 82
5 the line at time 82 = 12 if the line at time (81 + 1) = the line at time 82 and the line at time (81 + 1) = 12, then the line at time 82 = 12

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