Proof: Do Line At Unchanged 68

Let's prove the following theorem:

if the following are true:
  • expression state at time 68 = "return"
  • the line at time 68 = 7

then the line at time 69 = 7

Proof:

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Given
1 expression state at time 68 = "return"
2 the line at time 68 = 7
Proof Table
# Claim Reason
1 the line at time (68 + 1) = the line at time 68 if expression state at time 68 = "return", then the line at time (68 + 1) = the line at time 68
2 the line at time (68 + 1) = 7 if the line at time (68 + 1) = the line at time 68 and the line at time 68 = 7, then the line at time (68 + 1) = 7
3 68 + 1 = 69 68 + 1 = 69
4 the line at time (68 + 1) = the line at time 69 if 68 + 1 = 69, then the line at time (68 + 1) = the line at time 69
5 the line at time 69 = 7 if the line at time (68 + 1) = the line at time 69 and the line at time (68 + 1) = 7, then the line at time 69 = 7

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