Proof: Do Line At Unchanged 50

Let's prove the following theorem:

if the following are true:
  • expression state at time 50 = "return"
  • the line at time 50 = 6

then the line at time 51 = 6

Proof:

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Given
1 expression state at time 50 = "return"
2 the line at time 50 = 6
Proof Table
# Claim Reason
1 the line at time (50 + 1) = the line at time 50 if expression state at time 50 = "return", then the line at time (50 + 1) = the line at time 50
2 the line at time (50 + 1) = 6 if the line at time (50 + 1) = the line at time 50 and the line at time 50 = 6, then the line at time (50 + 1) = 6
3 50 + 1 = 51 50 + 1 = 51
4 the line at time (50 + 1) = the line at time 51 if 50 + 1 = 51, then the line at time (50 + 1) = the line at time 51
5 the line at time 51 = 6 if the line at time (50 + 1) = the line at time 51 and the line at time (50 + 1) = 6, then the line at time 51 = 6

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