Proof: Do Line At Unchanged 51

Let's prove the following theorem:

if the following are true:
  • expression state at time 51 = "call_returned"
  • the line at time 51 = 8

then the line at time 52 = 8

Proof:

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Given
1 expression state at time 51 = "call_returned"
2 the line at time 51 = 8
Proof Table
# Claim Reason
1 the line at time (51 + 1) = the line at time 51 if expression state at time 51 = "call_returned", then the line at time (51 + 1) = the line at time 51
2 the line at time (51 + 1) = 8 if the line at time (51 + 1) = the line at time 51 and the line at time 51 = 8, then the line at time (51 + 1) = 8
3 51 + 1 = 52 51 + 1 = 52
4 the line at time (51 + 1) = the line at time 52 if 51 + 1 = 52, then the line at time (51 + 1) = the line at time 52
5 the line at time 52 = 8 if the line at time (51 + 1) = the line at time 52 and the line at time (51 + 1) = 8, then the line at time 52 = 8

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