Proof: Do Line At Unchanged 18

Let's prove the following theorem:

if the following are true:
  • expression state at time 18 = "return"
  • the line at time 18 = 8

then the line at time 19 = 8

Proof:

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Given
1 expression state at time 18 = "return"
2 the line at time 18 = 8
Proof Table
# Claim Reason
1 the line at time (18 + 1) = the line at time 18 if expression state at time 18 = "return", then the line at time (18 + 1) = the line at time 18
2 the line at time (18 + 1) = 8 if the line at time (18 + 1) = the line at time 18 and the line at time 18 = 8, then the line at time (18 + 1) = 8
3 18 + 1 = 19 18 + 1 = 19
4 the line at time (18 + 1) = the line at time 19 if 18 + 1 = 19, then the line at time (18 + 1) = the line at time 19
5 the line at time 19 = 8 if the line at time (18 + 1) = the line at time 19 and the line at time (18 + 1) = 8, then the line at time 19 = 8

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