Proof: Do Line At Unchanged 37

Let's prove the following theorem:

if the following are true:
  • expression state at time 37 = "begin_expr"
  • the line at time 37 = 11

then the line at time 38 = 11

Proof:

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Given
1 expression state at time 37 = "begin_expr"
2 the line at time 37 = 11
Proof Table
# Claim Reason
1 the line at time (37 + 1) = the line at time 37 if expression state at time 37 = "begin_expr", then the line at time (37 + 1) = the line at time 37
2 the line at time (37 + 1) = 11 if the line at time (37 + 1) = the line at time 37 and the line at time 37 = 11, then the line at time (37 + 1) = 11
3 37 + 1 = 38 37 + 1 = 38
4 the line at time (37 + 1) = the line at time 38 if 37 + 1 = 38, then the line at time (37 + 1) = the line at time 38
5 the line at time 38 = 11 if the line at time (37 + 1) = the line at time 38 and the line at time (37 + 1) = 11, then the line at time 38 = 11

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